The ratio of the number of cupcakes to the number of wafers in a stall is 6 : 1. A cupcake costs $1.30 and a wafer costs $0.30. If all the cupcakes and wafers are sold, a sum of $243 will be collected. How many cupcakes are there altogether?
| |
Cupcakes |
Wafers |
Total |
| Number |
6 u |
1 u |
|
| Value |
$1.30 |
$0.30 |
|
| Total value |
7.8 u |
0.3 u |
$243 |
Amount collected if all the cupcakes are sold
= 6 u x 1.3
= 7.8 u
Amount collected if all the wafers are sold
= 1 u x 0.3 u
= 0.3 u
Amount collected if all the cupcakes and wafers are sold
= 7.8 u + 0.3 u
= 8.1 u
8.1 u = 243
1 u = 243 ÷ 8.1 = 30
Total number of cupcakes
= 6 u
= 6 x 30
= 180
Answer(s): 180
