The ratio of the number of wafers to the number of cupcakes in a shop is 6 : 1. A wafer costs $1.50 and a cupcake costs $0.50. If all the wafers and cupcakes are sold, a sum of $285 will be collected. How many wafers are there altogether?
| |
Wafers |
Cupcakes |
Total |
| Number |
6 u |
1 u |
|
| Value |
$1.50 |
$0.50 |
|
| Total value |
9 u |
0.5 u |
$285 |
Amount collected if all the wafers are sold
= 6 u x 1.5
= 9 u
Amount collected if all the cupcakes are sold
= 1 u x 0.5 u
= 0.5 u
Amount collected if all the wafers and cupcakes are sold
= 9 u + 0.5 u
= 9.5 u
9.5 u = 285
1 u = 285 ÷ 9.5 = 30
Total number of wafers
= 6 u
= 6 x 30
= 180
Answer(s): 180
