The ratio of the number of macarons to the number of shortbreads in a supermarket is 5 : 1. A macaron costs $1.40 and a shortbread costs $0.70. If all the macarons and shortbreads are sold, a sum of $231 will be collected. How many macarons are there altogether?
| |
Macarons |
Shortbreads |
Total |
| Number |
5 u |
1 u |
|
| Value |
$1.40 |
$0.70 |
|
| Total value |
7 u |
0.7 u |
$231 |
Amount collected if all the macarons are sold
= 5 u x 1.4
= 7 u
Amount collected if all the shortbreads are sold
= 1 u x 0.7 u
= 0.7 u
Amount collected if all the macarons and shortbreads are sold
= 7 u + 0.7 u
= 7.7 u
7.7 u = 231
1 u = 231 ÷ 7.7 = 30
Total number of macarons
= 5 u
= 5 x 30
= 150
Answer(s): 150
