The number of strawberry cakes on display at a cafe was
34 of the number of muffins on display. After 15 strawberry cakes were bought and the staff added another 36 muffins, the number of muffins was four times the number of strawberry cakes. The last group of customers bought 6 muffins each, finishing all the muffins on display. How many customers were there in the last group?
| |
Strawberry cakes |
Muffins |
| Before |
3 u |
4 u |
| Change |
- 15 |
+ 36 |
| After |
3 u - 15 |
4 u + 36 |
Comparing strawberry cakes
and muffins
in the end |
1 |
4 |
The number of muffins was four times the number of strawberry cakes in the end.
Number of muffins in the end
= 4(3 u - 15)
= 12 u - 60
12 u - 60 = 4 u + 36 12 u - 4 u = 60 + 368 u = 96
1 u = 96 ÷ 8 = 12Number of muffins in the end= 4 u + 36= 4 x 12 + 36= 84Number of customers in the last group= 84 ÷ 6= 14 Answer(s): 14 
