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Adam and Claire each had a collection of postcards. Claire had 4/7 as many postcards as Adam. When Adam gave away 35 postcards, Claire then had twice as many as Adam. How many postcards were in Adam's collection at first?

 Jul 29, 2022
 #1
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cards originally had by adam = x, cards originally had by claire = y.

 

7/4 y = x from sentence 1

1/2y = x - 35(I'm assuming your questions means that Adam did not give the postcards away to claire here)

 

7/4y - x = 0

1/2y - x = -35

 

equation 1 - equation 2 to get

 

5/4y = 35

 

Thus

y = 28, and

x = 49

 

Adam originally had 49 cards, and Claire originally had 28 cards

 Jul 29, 2022

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