The ratio of the number of cupcakes to the number of macarons in a stall is 4 : 1. A cupcake costs $1.70 and a macaron costs $0.80. If all the cupcakes and macarons are sold, a sum of $228 will be collected. How many cupcakes are there altogether?
| |
Cupcakes |
Macarons |
Total |
| Number |
4 u |
1 u |
|
| Value |
$1.70 |
$0.80 |
|
| Total value |
6.8 u |
0.8 u |
$228 |
Amount collected if all the cupcakes are sold
= 4 u x 1.7
= 6.8 u
Amount collected if all the macarons are sold
= 1 u x 0.8 u
= 0.8 u
Amount collected if all the cupcakes and macarons are sold
= 6.8 u + 0.8 u
= 7.6 u
7.6 u = 228
1 u = 228 ÷ 7.6 = 30
Total number of cupcakes
= 4 u
= 4 x 30
= 120
Answer(s): 120
