The ratio of the number of macarons to the number of shortbreads in a stall is 4 : 1. A macaron costs $1.50 and a shortbread costs $0.50. If all the macarons and shortbreads are sold, a sum of $130 will be collected. How many macarons are there altogether?
| |
Macarons |
Shortbreads |
Total |
| Number |
4 u |
1 u |
|
| Value |
$1.50 |
$0.50 |
|
| Total value |
6 u |
0.5 u |
$130 |
Amount collected if all the macarons are sold
= 4 u x 1.5
= 6 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
= 6 u + 0.5 u
= 6.5 u
6.5 u = 130
1 u = 130 ÷ 6.5 = 20
Total number of macarons
= 4 u
= 4 x 20
= 80
Answer(s): 80
