The ratio of the number of cupcakes to the number of shortbreads in a stall is 3 : 1. A cupcake costs $1.30 and a shortbread costs $0.80. If all the cupcakes and shortbreads are sold, a sum of $141 will be collected. How many cupcakes are there altogether?
| |
Cupcakes |
Shortbreads |
Total |
| Number |
3 u |
1 u |
|
| Value |
$1.30 |
$0.80 |
|
| Total value |
3.9 u |
0.8 u |
$141 |
Amount collected if all the cupcakes are sold
= 3 u x 1.3
= 3.9 u
Amount collected if all the shortbreads are sold
= 1 u x 0.8 u
= 0.8 u
Amount collected if all the cupcakes and shortbreads are sold
= 3.9 u + 0.8 u
= 4.7 u
4.7 u = 141
1 u = 141 ÷ 4.7 = 30
Total number of cupcakes
= 3 u
= 3 x 30
= 90
Answer(s): 90
