The ratio of the number of macarons to the number of tarts in a shop is 2 : 1. A macaron costs $1.80 and a tart costs $0.50. If all the macarons and tarts are sold, a sum of $164 will be collected. How many macarons are there altogether?
| |
Macarons |
Tarts |
Total |
| Number |
2 u |
1 u |
|
| Value |
$1.80 |
$0.50 |
|
| Total value |
3.6 u |
0.5 u |
$164 |
Amount collected if all the macarons are sold
= 2 u x 1.8
= 3.6 u
Amount collected if all the tarts are sold
= 1 u x 0.5 u
= 0.5 u
Amount collected if all the macarons and tarts are sold
= 3.6 u + 0.5 u
= 4.1 u
4.1 u = 164
1 u = 164 ÷ 4.1 = 40
Total number of macarons
= 2 u
= 2 x 40
= 80
Answer(s): 80
