The ratio of the number of macarons to the number of tarts in a kiosk is 2 : 1. A macaron costs $1.50 and a tart costs $0.40. If all the macarons and tarts are sold, a sum of $102 will be collected. How many macarons are there altogether?
|
Macarons |
Tarts |
Total |
Number |
2 u |
1 u |
|
Value |
$1.50 |
$0.40 |
|
Total value |
3 u |
0.4 u |
$102 |
Amount collected if all the macarons are sold
= 2 u x 1.5
= 3 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 u + 0.4 u
= 3.4 u
3.4 u = 102
1 u = 102 ÷ 3.4 = 30
Total number of macarons
= 2 u
= 2 x 30
= 60
Answer(s): 60