The ratio of the number of cupcakes to the number of shortbreads in a kiosk is 5 : 1. A cupcake costs $1.90 and a shortbread costs $0.80. If all the cupcakes and shortbreads are sold, a sum of $103 will be collected. How many cupcakes are there altogether?
|
Cupcakes |
Shortbreads |
Total |
Number |
5 u |
1 u |
|
Value |
$1.90 |
$0.80 |
|
Total value |
9.5 u |
0.8 u |
$103 |
Amount collected if all the cupcakes are sold
= 5 u x 1.9
= 9.5 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
= 9.5 u + 0.8 u
= 10.3 u
10.3 u = 103
1 u = 103 ÷ 10.3 = 10
Total number of cupcakes
= 5 u
= 5 x 10
= 50
Answer(s): 50