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There were some chocolate and strawberry cupcakes in a cake shop. If 10 chocolate cupcakes were sold, 2/7 of the cupcakes left would be chocolate cupcakes. If 18 strawberry cupcakes were sold, 1/3 of the cupcakes left would be chocolate cupcakes. How many chocolate cupcakes and how many strawberry cupcakes were there in the shop?

 Feb 22, 2022
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C==Chocolates,    S==Stawberry


C + S ==T.................................(1)
[C - 10] / [T - 10]==2/7.............(2)
C / [T - 18] ==1/3.....................(3), solve for C, S, T


Use substitution to get:
C==86 - original number of chocolate cupcakes.
S ==190 - original number of strawberry cupcakes.

 Feb 22, 2022
edited by Guest  Feb 22, 2022

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