The number of blueberry cakes on display at a cafe was
23 of the number of macarons on display. After 24 blueberry cakes were bought and the staff added another 34 macarons, the number of macarons was five times the number of blueberry cakes. The last group of customers bought 5 macarons each, finishing all the macarons on display. How many customers were there in the last group?
| |
Blueberry cakes |
Macarons |
| Before |
2 u |
3 u |
| Change |
- 24 |
+ 34 |
| After |
2 u - 24 |
3 u + 34 |
Comparing blueberry cakes
and macarons
in the end |
1 |
5 |
The number of macarons was five times the number of blueberry cakes in the end.
Number of macarons in the end
= 5(2 u - 24)
= 10 u - 120
10 u - 120 = 3 u + 34 10 u - 3 u = 120 + 347 u = 154
1 u = 154 ÷ 7 = 22Number of macarons in the end= 3 u + 34= 3 x 22 + 34= 100Number of customers in the last group= 100 ÷ 5= 20 Answer(s): 20 
