Question

The ratio of cookies to cake is 5 : 7. If there are 600 boxes in total, how many boxes has cake?

Answer 1

let no. of cookies be 5x
and no. of cake be 7x
then
5x+7x= 600
12x= 600
x= 50
so no. of cake = 7×50
= 350 boxes.

Answer 2

hi.....

Cookies : Cake = 5 : 7

Let the common multiple be x.

So , the no. of boxes having cookies are 5x and that which have cakes are 7x.

By the given condition ...

Total no. of boxes are 600.

$7x + 5x = 600$

$12x = 600$

$x = \frac{600}{12}$

$x = 50$

No. of boxes having cakes :

$7x = 7(50) = 350$
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Final Statement :
The no. of boxes which has cakes are 350.
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$hope \: \: this \: \: helps...$