The ratio of the number of macarons to the number of shortbreads in a supermarket is 6 : 1. A macaron costs $1.10 and a shortbread costs $0.80. If all the macarons and shortbreads are sold, a sum of $222 will be collected. How many macarons are there altogether?
| |
Macarons |
Shortbreads |
Total |
| Number |
6 u |
1 u |
|
| Value |
$1.10 |
$0.80 |
|
| Total value |
6.6 u |
0.8 u |
$222 |
Amount collected if all the macarons are sold
= 6 u x 1.1
= 6.6 u
Amount collected if all the shortbreads are sold
= 1 u x 0.8 u
= 0.8 u
Amount collected if all the macarons and shortbreads are sold
= 6.6 u + 0.8 u
= 7.4 u
7.4 u = 222
1 u = 222 ÷ 7.4 = 30
Total number of macarons
= 6 u
= 6 x 30
= 180
Answer(s): 180
