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Calvin and Susie had some game cards at first. Calvin gave 1/4 of his cards to Susie. After that, Susie gave 1/5 of her cards to Calvin. In the end, Calvin had 45 cards and Susie had 36 cards. How many cards did Calvin have at first?

 Nov 8, 2021
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Calvin and Susie had some game cards at first. Calvin gave 1/4 of his cards to Susie. After that, Susie gave 1/5 of her cards to Calvin. In the end, Calvin had 45 cards and Susie had 36 cards. How many cards did Calvin have at first?

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Calvin's cards => x     Susie's cards =>  y            (At first)

x + y = 81

x = 81 - y             

1/4(81 - y)        Susie received from Calvin

1/5[y + 1/4(81 - y)]           Susie gave to Calvin

4/5[y + 1/4(81 - y)] = 36          y = 33

 

x = 81 - 33

 

x = 48        Cards that Calvin had at first.

 Nov 9, 2021
edited by jugoslav  Nov 9, 2021

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