The ratio of the number of macarons to the number of shortbreads in a stall is 3 : 1. A macaron costs $1.80 and a shortbread costs $0.50. If all the macarons and shortbreads are sold, a sum of $118 will be collected. How many macarons are there altogether?
| |
Macarons |
Shortbreads |
Total |
| Number |
3 u |
1 u |
|
| Value |
$1.80 |
$0.50 |
|
| Total value |
5.4 u |
0.5 u |
$118 |
Amount collected if all the macarons are sold
= 3 u x 1.8
= 5.4 u
Amount collected if all the shortbreads are sold
= 1 u x 0.5 u
= 0.5 u
Amount collected if all the macarons and shortbreads are sold
= 5.4 u + 0.5 u
= 5.9 u
5.9 u = 118
1 u = 118 ÷ 5.9 = 20
Total number of macarons
= 3 u
= 3 x 20
= 60
Answer(s): 60
