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There are 70 cookies in a box. The number of raisin cookies was 1/4 the number of plain cookies. Josephine ate 3 raisin cookies and 3 plain cookies. Find the difference between the number of raisin and plain cookies in the box in the end.

 Apr 19, 2021
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There are 70 cookies in a box. The number of raisin cookies was 1/4 the number of plain cookies. Josephine ate 3 raisin cookies and 3 plain cookies. Find the difference between the number of raisin and plain cookies in the box in the end.     

 

Consider the ratio 1/4.     

 

That is, for every 5 cookies, 1 is a raisin and 4 are plain.     

 

So divide 5 into 70 to get 14 ... let's call them "portions".     

The raisin cookies get 1 portion, so there are 14 of them.     

The plain cookies get 4 portions, so there are 56 of them.     

 

The difference in the number of cookies is (56 – 14) = 42      

 

So, as long as Josephine eats the same number of raisin cookies     

as she eats plain cookies, the difference will always be 42 cookies.     

.     

 Jun 18, 2025

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