The ratio of the number of cupcakes to the number of macarons in a shop is 5 : 1. A cupcake costs $1.40 and a macaron costs $0.40. If all the cupcakes and macarons are sold, a sum of $222 will be collected. How many cupcakes are there altogether?
| |
Cupcakes |
Macarons |
Total |
| Number |
5 u |
1 u |
|
| Value |
$1.40 |
$0.40 |
|
| Total value |
7 u |
0.4 u |
$222 |
Amount collected if all the cupcakes are sold
= 5 u x 1.4
= 7 u
Amount collected if all the macarons are sold
= 1 u x 0.4 u
= 0.4 u
Amount collected if all the cupcakes and macarons are sold
= 7 u + 0.4 u
= 7.4 u
7.4 u = 222
1 u = 222 ÷ 7.4 = 30
Total number of cupcakes
= 5 u
= 5 x 30
= 150
Answer(s): 150
