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Vijay bought 7 bags of apples. The red apples came in bags of 5 and the green apples came in bags of 9. Vijay bought a total of 51 apples. How many bags of each type of apple did he buy?

 Aug 19, 2021
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For this problem, you can guess and check.

 

If we have 7 bags of 9 apples, it totals 63 apples.

If we have 7 bags of 5 apples, it toals 35 apples.

 

Each time we replace a bag of 9 apples with 5, it deducts 4 apples from the total.

 

63-51=12 apple difference from 7 bags of 9 apples from the actual number of apples

12/4=3 bags of red apples

7-3=4 bags of green apples

 

Therefore, there are 4 bags of green apples and 3 bags of red apples.

 

 

(doing it backwards to prove that it's correct)

 

4x9=36

3x5=15

36+15=51.

 Aug 19, 2021

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