Question

A bakery collected $1848 from selling some pies and cakes. The ratio of money collected from selling the pies to cakes was 15 :7. The ratio of the number of pies to cakes sold was 4:1. A cake cost $13 more than a pie. How many cakes were sold?

Answer 1

Total income = 1848
income from pies : income from cakes = 15:7
income from pies = 1848/22*15 = 1260
income from cakes = 1848/22*7 = 588

price:
price of pie ---- y
price of cake ---- y + 13

number:
pies --- 4x
cakes --- x

4xy = 1260 , #1 ----> xy = 315
and
x(y+13) = 588
xy + 13x = 588 , #2

but xy = 315
into #2, 315 + 13x = 588
13x = 273
x = 21
and that makes y = 15 , from #1

Now look at my definitions and state your conclusion

Nice ratio question!