Question: Victor bought textbooks and workbooks for $332. Cost of one textbook is $50 and cost of one workbook is $44. Identify an equation that models the number of textbooks and workbooks Victor bought. [Let x represent the number of textbooks and y represent the number of workbooks.]
A ) 50x + 44y = 342 B ) 50x + 44y = 332 C ) 44x + 50y = 332 D ) x + 44y = 332
Steps to derive
1 Price of one textbook = $50
2 Price of one workbook = $44
3 Total amount Victor had = $332
4 The number of textbooks is represented by x and the number of workbooks is represented by y that Victor bought.
5 (Price of a textbook × Number of text books) + (Price of a workbook × Number of workbooks) = Total cost [Verbal model.]
6 50x + 44y = 332 [Linear model.]
7 The linear model for the situation is 50x + 44y = 332.
