The ratio of the number of scones to the number of cupcakes in a shop is 3 : 1. A scone costs $1.70 and a cupcake costs $0.60. If all the scones and cupcakes are sold, a sum of $57 will be collected. How many scones are there altogether?
| |
Scones |
Cupcakes |
Total |
| Number |
3 u |
1 u |
|
| Value |
$1.70 |
$0.60 |
|
| Total value |
5.1 u |
0.6 u |
$57 |
Amount collected if all the scones are sold
= 3 u x 1.7
= 5.1 u
Amount collected if all the cupcakes are sold
= 1 u x 0.6 u
= 0.6 u
Amount collected if all the scones and cupcakes are sold
= 5.1 u + 0.6 u
= 5.7 u
5.7 u = 57
1 u = 57 ÷ 5.7 = 10
Total number of scones
= 3 u
= 3 x 10
= 30
Answer(s): 30
