The ratio of the number of macarons to the number of shortbreads in a shop is 2 : 1. A macaron costs $1.20 and a shortbread costs $0.70. If all the macarons and shortbreads are sold, a sum of $31 will be collected. How many macarons are there altogether?
| |
Macarons |
Shortbreads |
Total |
| Number |
2 u |
1 u |
|
| Value |
$1.20 |
$0.70 |
|
| Total value |
2.4 u |
0.7 u |
$31 |
Amount collected if all the macarons are sold
= 2 u x 1.2
= 2.4 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
= 2.4 u + 0.7 u
= 3.1 u
3.1 u = 31
1 u = 31 ÷ 3.1 = 10
Total number of macarons
= 2 u
= 2 x 10
= 20
Answer(s): 20
