The number of apple cakes on display at a cafe was
23 of the number of macarons on display. After 22 apple cakes were bought and the staff added another 33 macarons, the number of macarons was thrice the number of apple cakes. The last group of customers bought 4 macarons each, finishing all the macarons on display. How many customers were there in the last group?
|
Apple cakes |
Macarons |
Before |
2 u |
3 u |
Change |
- 22 |
+ 33 |
After |
2 u - 22 |
3 u + 33 |
Comparing apple cakes and macarons in the end |
1 |
3 |
The number of macarons was thrice the number of apple cakes in the end.
Number of macarons in the end
= 3(2 u - 22)
= 6 u - 66
6 u - 66 = 3 u + 33 6 u - 3 u = 66 + 333 u = 99
1 u = 99 ÷ 3 = 33Number of macarons in the end= 3 u + 33= 3 x 33 + 33= 132Number of customers in the last group= 132 ÷ 4= 33 Answer(s): 33