SOLUTION: A pastry cook has got a specific number of strawberries. If he uses 12 for each cake, he is left with one strawberry, but he if uses just 8 for each cake, he can decorate six more

Algebra ->  Human-and-algebraic-language -> SOLUTION: A pastry cook has got a specific number of strawberries. If he uses 12 for each cake, he is left with one strawberry, but he if uses just 8 for each cake, he can decorate six more       Log On


   

Question 785442: A pastry cook has got a specific number of strawberries. If he uses 12 for each cake, he is left with one strawberry, but he if uses just 8 for each cake, he can decorate six more cakes, with one strawberry left also in this case. How many cakes will he be able to decorate if he uses 5 strawverries for each cake? Please let me know how to solve this problem, I beg youuu!! Thanksss
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Let b = number of strawberries the cook has.

Using 12 berries per cake, b%2F12 cakes plus 1%2F12 cake. I can only feel that this fraction of a cake will not be applied in the next strawberry usage rate;

Using 8 berries per cake, b%2F8=b%2F12%2B6 cakes plus 1%2F8 cake.
This rate seems to be b%2F8=b%2F12%2B6%2B1%2F8, units of "cakes".
Multiply left & right by 24 to clear the fractions:
3b=2b%2B24%2A6%2B3
b=24%2A6%2B3
highlight%28b=147%29 berries or strawberries.

To finish, if the pastry cook applies 5 strawberries per cake, this will be 147%2F5=highlight%2829%29 cakes plus 2 strawberries left remaining.