The number of blueberry cakes on display at a cafe was
23 of the number of cupcakes on display. After 16 blueberry cakes were bought and the staff added another 40 cupcakes, the number of cupcakes was twice the number of blueberry 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?
| |
Blueberry cakes |
Cupcakes |
| Before |
2 u |
3 u |
| Change |
- 16 |
+ 40 |
| After |
2 u - 16 |
3 u + 40 |
Comparing blueberry cakes
and cupcakes
in the end |
1 |
2 |
The number of cupcakes was twice the number of blueberry cakes in the end.
Number of cupcakes in the end
= 2(2 u - 16)
= 4 u - 32
4 u - 32 = 3 u + 40 4 u - 3 u = 32 + 401 u = 72
1 u = 72 ÷ 1 = 72Number of cupcakes in the end= 3 u + 40= 3 x 72 + 40= 256Number of customers in the last group= 256 ÷ 4= 64 Answer(s): 64 
