The ratio of the number of macarons to the number of tarts in a shop is 3 : 1. A macaron costs $1.30 and a tart costs $0.40. If all the macarons and tarts are sold, a sum of $129 will be collected. How many macarons are there altogether?
| |
Macarons |
Tarts |
Total |
| Number |
3 u |
1 u |
|
| Value |
$1.30 |
$0.40 |
|
| Total value |
3.9 u |
0.4 u |
$129 |
Amount collected if all the macarons are sold
= 3 u x 1.3
= 3.9 u
Amount collected if all the tarts are sold
= 1 u x 0.4 u
= 0.4 u
Amount collected if all the macarons and tarts are sold
= 3.9 u + 0.4 u
= 4.3 u
4.3 u = 129
1 u = 129 ÷ 4.3 = 30
Total number of macarons
= 3 u
= 3 x 30
= 90
Answer(s): 90
