SocialTwist Tell-a-Friend

Ask a Question? Get an Answer!


Question: An Opera house collected $17,400 by selling the tickets. The people sitting in the row A are charged $19 and the people sitting in row B are charged $14. The total number of tickets sold is 1,050. Find the number of people sitting in row A and row B.


A ) 540 in row A and 510 in row B
B ) 511 in row A and 539 in row B
C ) 510 in row A and 540 in row B
D ) 539 in row A and 511 in row B

Steps to derive

1 Number of people in row A = x

2 Number of people in row B = y

3 x + y = 1050 --- (1)
 [Express as a linear equation.]

4 19x + 14y = 17400 --- (2)
 [Equation for the money collected by selling tickets.]

 [Rearrange equation 1.]
8 y = 1050 - x

 [Substitute the values.]
9 19x + 14(1050 - x) = 17400

 [Group the like terms.]
10 5x + 14700 = 17400

 [Subtract 14700 from the two sides of the equation.]
11 5x = 2700

 [Divide throughout by 5.]
12 x = 540

 [Substitute the values.]
13 y = 1050 - 540 = 510

14 The number of people sitting in row A are 540 and the number of people sitting in the row B are 510.



Hence the right answer is Option A

Click Here To Go Back


Few Other Questions -

  • What is the area of the triangle?..
  • Find the perimeter of the toy wheel, if the radius is 5 in...
  • The table shows the fat content (in grams) in various food items. Pick the appropriate bar..
  • The cost of an article during six years is shown in the line graph. By what amount did the..
  • The bar graph shows the number of flower shows arranged each month from January to August...
  • Find the volume of the cube whose edge is 5 cm...
  • Find the volume of a chocolate box, which is in the form of a rectangular prism, that has ..
  • Find the perimeter of the square ABCD...
  • The graph shows the number of students and their respective scores in a test. How many mor..
  • The number of Internet hosts(in millions) during the years 1991 to 1996 is represented in ..
  • What is the perimeter of the figure shown?..
  • Choose a model that represents an improper fraction less than 1610...
  • Solve -3 ≤ x - 5 ≤ 4 and graph the inequality...
  • A boy dropped a ball from the top of a building of height 100.8 meters. The equation t = &..
  • Which of the models represents 18?..
  • Which line segment in the circle shown represents the diameter?..
  • Which figure has a line that represents the radius of the circle?..
  • Which of the circles show/s a chord?..
  • Which of these circles has/have a line through its/their diameter/s?..
  • What is the value of the expression |z| + x - y, when x = 8, y = -5 and z = -3?..
  • John ate 310 of a chocolate pie and Rebecca ate 710 of it. Which statement is true for thi..
  • Choose the right comparison between 13 and 12...
  • Find the value of 7(- 3) + [(21 - 3) ÷ 3]...
  • The line graph shows the number of computers (in thousands) sold each year in a state from..
  • A card is drawn from a deck of 52 cards. Express verbally the probability that the card se..
  • Identify the probability of getting a number greater than 3 when a number cube is rolled...
  • A bag contains 8 burgundy balls, 3 purple balls and 8 violet balls. Express verbally the p..
  • There are some gray and some black buttons in the figure. Identify the ratio of gray to bl..
  • A box contains 2 pencils, 4 pens and 2 erasers. Express the probability of picking a penci..
  • The sum of two numbers is less than 563. If one of the numbers is 320, then which of the f..
  • Express verbally the probability of selecting a number that is divisible by 3 from the num..
  • Calculate the percent rise in the number of vehicle registrations from 1990 to 2000 from t..
  • Identify the probability of getting a prime number when the dice is rolled...
  • Express verbally the probability of getting a product of 12 when two dice are rolled...
  • Express verbally the probability of picking a vowel from the word PEN...
  • There are some small and some big buttons in the figure. Write the ratio of total buttons ..
  • There are 30 students in a class out of which 10 are girls and 20 are boys. Express the pr..
  • Identify the probability of picking a club card from a deck of 52 playing cards...
  • Express verbally the probability of selecting a green pencil from the box...
  • Identify the probability of picking a red color rose...
  • Using the line graph, find the year in which the maximum number of cars were imported...
  • Express verbally the probability of drawing an ace card from the set of cards...
  • Which pair represents congruent figures?..
  • Which of these rightly compares 14 and 12?..
  • Thirty six less than a number is less than fifty seven. Which of the choices can be the nu..
  • Choose the figure that is similar to the triangle shown...
  • Express verbally the probability of picking a pencil from the bag...
  • Which of these rightly compares 14 and 13? ..
  • Identify the probability of getting a sum of 8 when two dice are rolled simultaneously...
  • Jason cut 511 of a loaf of bread into slices. Compare the left-otu part of loaf to the par..
  • Express verbally the probability of selecting a vowel from A, E, I, O and U...
  • Find the right comparison between 15 and 16...
  • Frank and Brian bought chocolates. Frank took 511 of them and Brian took the rest. Compare..
  • A man has 4 quarters, 7 dimes and 8 pennies in his pocket. Choose the probability of picki..
  • What percent of the grid is unshaded?..
  • Which of the graphs represents the inequality? - 6.5 + x ≥ - 2.6..
  • One ticket is drawn from a bag containing 30 tickets numbered 1 to 30. Find out the probab..
  • 26 of marbles in a bag are red in color; 36 of them are green; and the rest are brown. Ord..
  • Justin bought a toy bike with his pocket money. He spent 47 of the money to buy it. Is the..
  • Which shaded area represents 44%?..
  • Tanya requires 14 yard of cloth to make a pillow cover. She has 12 yard of the cloth with ..
  • There are same number of students in both Mrs. Smith and Mrs Jone's class. 58 of them are ..
  • The table shows the number of students enrolled in the elementary, the middle, and the hig..
  • Which pair of figures are congruent?..
  • What percent of the figure is shaded ?..
  • Choose the appropriate statement for the given figures...
  • Which of the graphs represents the inequality? - 5.3 + x ≤ - 8.7..
  • The line graph displays the dollar value of exports made by a state during five years. Wha..
  • What percent of the figure is shaded?..
  • Express verbally the probability of picking A from the bowl...
  • What percent of the figure is shaded?..
  • Which figure is similar to the hexagon shown?..
  • Express verbally the probability of picking a vowel from the bowl...
  • Are the two figures similar or congruent?..
  • The following table shows the production, imports and consumption of electricity in a part..
  • The line graph shows the number of trucks produced during the years 1998 to 2002. Find the..
  • Use a fraction to express the probability of picking a queen card from the cards in the fi..
  • Which figure is congruent to the rectangle shown?..
  • A train can cover at most 110 miles in two hours. The train covers 50 miles in the secon..
  • Solve the inequality - 8a ≤ 24...
  • Choose a triangle that is congruent to the triangle shown...
  • Which two figures are similar?..
  • Which among the figures is a polygon?..
  • Find the probability of selecting a blue pencil from the set of pencils...
  • The Recommended Daily Allowance (RDA) of Vitamin A (in International Units) for children o..
  • How many of the figures are polygons?..
  • Use a fraction to express the probability of selecting a yellow balloon from the balloons ..
  • Find the number of sides of the polygon...
  • Express verbally the probability of selecting a circle from the box...
  • Find the sum of the number of sides of a rectangle and those of a pentagon...
  • Which of the figures is a pentagon?..
  • The total revenue of five companies is represented in the bar graph. What is the differenc..
  • Use a fraction to express the probability of selecting a dime from the set of coins...
  • Solve the inequality m-2 ≤ 23. ..
  • Find the difference between the number of sides of a parallelogram and those of a triangle..
  • Express verbally the probability of picking a gray ball from the box...
  • Which of the graphs represents the inequality x6 > - 3?..
  • Which of the figures is not a polygon?..
  • What is the probability of selecting a number that is divisible by 2 from the numbers 1 to..
  • Identify the five-sided polygon...
    		•