The number of items on two grocery lists differs by 9. The total number of items for both lists is 33. How many items are on each list?

Question

Mathematics

Finley

18 July, 00:08

The number of items on two grocery lists differs by 9. The total number of items for both lists is 33. How many items are on each list?

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Answers (1)

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Aden Burns · Answer 1

Let b>a

b-a=9

b=9+a

...

a+b=33, using b found above in this we get:

a+9+a=33

2a+9=33

2a=24

a=12, and since b=9+a

b=21

So there are 12 items on one list and 21 items on the other list.