The number of strawberry cakes on display at a cafe was
23 of the number of scones on display. After 19 strawberry cakes were bought and the staff added another 45 scones, the number of scones was thrice the number of strawberry cakes. The last group of customers bought 7 scones each, finishing all the scones on display. How many customers were there in the last group?
| |
Strawberry cakes |
Scones |
| Before |
2 u |
3 u |
| Change |
- 19 |
+ 45 |
| After |
2 u - 19 |
3 u + 45 |
Comparing strawberry cakes
and scones
in the end |
1 |
3 |
The number of scones was thrice the number of strawberry cakes in the end.
Number of scones in the end
= 3(2 u - 19)
= 6 u - 57
6 u - 57 = 3 u + 45 6 u - 3 u = 57 + 453 u = 102
1 u = 102 ÷ 3 = 34Number of scones in the end= 3 u + 45= 3 x 34 + 45= 147Number of customers in the last group= 147 ÷ 7= 21 Answer(s): 21 
