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Question: Charlie earned $10 from his job last week. He wants to buy some books costing $3 each and also save $1 for himself. Solve the equation, 1 + 3y = 10, to find y, the number of books Charlie can buy. Use algebra tiles.


A ) 2
B ) 3
C ) 5
D ) 7

Steps to derive

 [Original equation.]
1 1 + 3y = 10

 [Write the equation in the form of algebra tiles.]


 [Subtract 1 constant tile from each side.]
3 1 + 3y - 1 = 10 - 1


 [Simplify and divide both sides into three equal parts.]
4 3y = 9


 [Take one part on each side.]
5 y = 3


6 Number of books y that Charlie can buy = 3



Hence the right answer is Option B

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