The number of coffee cakes on display at a cafe was
23 of the number of macarons on display. After 16 coffee cakes were bought and the staff added another 33 macarons, the number of macarons was thrice the number of coffee cakes. The last group of customers bought 6 macarons each, finishing all the macarons on display. How many customers were there in the last group?
| |
Coffee cakes |
Macarons |
| Before |
2 u |
3 u |
| Change |
- 16 |
+ 33 |
| After |
2 u - 16 |
3 u + 33 |
Comparing coffee cakes
and macarons
in the end |
1 |
3 |
The number of macarons was thrice the number of coffee cakes in the end.
Number of macarons in the end
= 3(2 u - 16)
= 6 u - 48
6 u - 48 = 3 u + 33 6 u - 3 u = 48 + 333 u = 81
1 u = 81 ÷ 3 = 27Number of macarons in the end= 3 u + 33= 3 x 27 + 33= 114Number of customers in the last group= 114 ÷ 6= 19 Answer(s): 19 
