The ratio of the number of shortbreads to the number of cupcakes in a shop is 2 : 1. A shortbread costs $1.40 and a cupcake costs $0.50. If all the shortbreads and cupcakes are sold, a sum of $99 will be collected. How many shortbreads are there altogether?
| |
Shortbreads |
Cupcakes |
Total |
| Number |
2 u |
1 u |
|
| Value |
$1.40 |
$0.50 |
|
| Total value |
2.8 u |
0.5 u |
$99 |
Amount collected if all the shortbreads are sold
= 2 u x 1.4
= 2.8 u
Amount collected if all the cupcakes are sold
= 1 u x 0.5 u
= 0.5 u
Amount collected if all the shortbreads and cupcakes are sold
= 2.8 u + 0.5 u
= 3.3 u
3.3 u = 99
1 u = 99 ÷ 3.3 = 30
Total number of shortbreads
= 2 u
= 2 x 30
= 60
Answer(s): 60
