The ratio of the number of cupcakes to the number of wafers in a supermarket is 2 : 1. A cupcake costs $1.10 and a wafer costs $0.50. If all the cupcakes and wafers are sold, a sum of $81 will be collected. How many cupcakes are there altogether?
| |
Cupcakes |
Wafers |
Total |
| Number |
2 u |
1 u |
|
| Value |
$1.10 |
$0.50 |
|
| Total value |
2.2 u |
0.5 u |
$81 |
Amount collected if all the cupcakes are sold
= 2 u x 1.1
= 2.2 u
Amount collected if all the wafers are sold
= 1 u x 0.5 u
= 0.5 u
Amount collected if all the cupcakes and wafers are sold
= 2.2 u + 0.5 u
= 2.7 u
2.7 u = 81
1 u = 81 ÷ 2.7 = 30
Total number of cupcakes
= 2 u
= 2 x 30
= 60
Answer(s): 60
