The ratio of the number of shortbreads to the number of cupcakes in a shop is 4 : 1. A shortbread costs $1.30 and a cupcake costs $0.60. If all the shortbreads and cupcakes are sold, a sum of $58 will be collected. How many shortbreads are there altogether?
| |
Shortbreads |
Cupcakes |
Total |
| Number |
4 u |
1 u |
|
| Value |
$1.30 |
$0.60 |
|
| Total value |
5.2 u |
0.6 u |
$58 |
Amount collected if all the shortbreads are sold
= 4 u x 1.3
= 5.2 u
Amount collected if all the cupcakes are sold
= 1 u x 0.6 u
= 0.6 u
Amount collected if all the shortbreads and cupcakes are sold
= 5.2 u + 0.6 u
= 5.8 u
5.8 u = 58
1 u = 58 ÷ 5.8 = 10
Total number of shortbreads
= 4 u
= 4 x 10
= 40
Answer(s): 40
