The number of blueberry cakes on display at a cafe was
23 of the number of scones on display. After 18 blueberry cakes were bought and the staff added another 42 scones, the number of scones was twice the number of blueberry cakes. The last group of customers bought 6 scones each, finishing all the scones on display. How many customers were there in the last group?
| |
Blueberry cakes |
Scones |
| Before |
2 u |
3 u |
| Change |
- 18 |
+ 42 |
| After |
2 u - 18 |
3 u + 42 |
Comparing blueberry cakes
and scones
in the end |
1 |
2 |
The number of scones was twice the number of blueberry cakes in the end.
Number of scones in the end
= 2(2 u - 18)
= 4 u - 36
4 u - 36 = 3 u + 42 4 u - 3 u = 36 + 421 u = 78
1 u = 78 ÷ 1 = 78Number of scones in the end= 3 u + 42= 3 x 78 + 42= 276Number of customers in the last group= 276 ÷ 6= 46 Answer(s): 46 
