The ratio of the number of scones to the number of cupcakes in a stall is 3 : 1. A scone costs $1.20 and a cupcake costs $0.50. If all the scones and cupcakes are sold, a sum of $164 will be collected. How many scones are there altogether?
| |
Scones |
Cupcakes |
Total |
| Number |
3 u |
1 u |
|
| Value |
$1.20 |
$0.50 |
|
| Total value |
3.6 u |
0.5 u |
$164 |
Amount collected if all the scones are sold
= 3 u x 1.2
= 3.6 u
Amount collected if all the cupcakes are sold
= 1 u x 0.5 u
= 0.5 u
Amount collected if all the scones and cupcakes are sold
= 3.6 u + 0.5 u
= 4.1 u
4.1 u = 164
1 u = 164 ÷ 4.1 = 40
Total number of scones
= 3 u
= 3 x 40
= 120
Answer(s): 120
