The number of strawberry cakes on display at a cafe was
56 of the number of cupcakes on display. After 20 strawberry cakes were bought and the staff added another 32 cupcakes, the number of cupcakes was four times the number of strawberry cakes. The last group of customers bought 4 cupcakes each, finishing all the cupcakes on display. How many customers were there in the last group?
|
Strawberry cakes |
Cupcakes |
Before |
5 u |
6 u |
Change |
- 20 |
+ 32 |
After |
5 u - 20 |
6 u + 32 |
Comparing strawberry cakes and cupcakes in the end |
1 |
4 |
The number of cupcakes was four times the number of strawberry cakes in the end.
Number of cupcakes in the end
= 4(5 u - 20)
= 20 u - 80
20 u - 80 = 6 u + 32 20 u - 6 u = 80 + 3214 u = 112
1 u = 112 ÷ 14 = 8Number of cupcakes in the end= 6 u + 32= 6 x 8 + 32= 80Number of customers in the last group= 80 ÷ 4= 20 Answer(s): 20