The ratio of the number of macarons to the number of croissants in a shop is 2 : 1. A macaron costs $1.70 and a croissant costs $0.60. If all the macarons and croissants are sold, a sum of $160 will be collected. How many macarons are there altogether?
| |
Macarons |
Croissants |
Total |
| Number |
2 u |
1 u |
|
| Value |
$1.70 |
$0.60 |
|
| Total value |
3.4 u |
0.6 u |
$160 |
Amount collected if all the macarons are sold
= 2 u x 1.7
= 3.4 u
Amount collected if all the croissants are sold
= 1 u x 0.6 u
= 0.6 u
Amount collected if all the macarons and croissants are sold
= 3.4 u + 0.6 u
= 4 u
4 u = 160
1 u = 160 ÷ 4 = 40
Total number of macarons
= 2 u
= 2 x 40
= 80
Answer(s): 80
