The number of blueberry cakes on display at a cafe was
34 of the number of muffins on display. After 17 blueberry cakes were bought and the staff added another 34 muffins, the number of muffins was thrice the number of blueberry 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?
| |
Blueberry cakes |
Muffins |
| Before |
3 u |
4 u |
| Change |
- 17 |
+ 34 |
| After |
3 u - 17 |
4 u + 34 |
Comparing blueberry cakes
and muffins
in the end |
1 |
3 |
The number of muffins was thrice the number of blueberry cakes in the end.
Number of muffins in the end
= 3(3 u - 17)
= 9 u - 51
9 u - 51 = 4 u + 34 9 u - 4 u = 51 + 345 u = 85
1 u = 85 ÷ 5 = 17Number of muffins in the end= 4 u + 34= 4 x 17 + 34= 102Number of customers in the last group= 102 ÷ 6= 17 Answer(s): 17 
