The number of apple cakes on display at a cafe was
23 of the number of macarons on display. After 21 apple cakes were bought and the staff added another 39 macarons, the number of macarons was twice the number of apple 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?
| |
Apple cakes |
Macarons |
| Before |
2 u |
3 u |
| Change |
- 21 |
+ 39 |
| After |
2 u - 21 |
3 u + 39 |
Comparing apple cakes
and macarons
in the end |
1 |
2 |
The number of macarons was twice the number of apple cakes in the end.
Number of macarons in the end
= 2(2 u - 21)
= 4 u - 42
4 u - 42 = 3 u + 39 4 u - 3 u = 42 + 391 u = 81
1 u = 81 ÷ 1 = 81Number of macarons in the end= 3 u + 39= 3 x 81 + 39= 282Number of customers in the last group= 282 ÷ 6= 47 Answer(s): 47 
