The ratio of the number of tarts to the number of macarons in a kiosk is 2 : 1. A tart costs $1.20 and a macaron costs $0.30. If all the tarts and macarons are sold, a sum of $54 will be collected. How many tarts are there altogether?
| |
Tarts |
Macarons |
Total |
| Number |
2 u |
1 u |
|
| Value |
$1.20 |
$0.30 |
|
| Total value |
2.4 u |
0.3 u |
$54 |
Amount collected if all the tarts are sold
= 2 u x 1.2
= 2.4 u
Amount collected if all the macarons are sold
= 1 u x 0.3 u
= 0.3 u
Amount collected if all the tarts and macarons are sold
= 2.4 u + 0.3 u
= 2.7 u
2.7 u = 54
1 u = 54 ÷ 2.7 = 20
Total number of tarts
= 2 u
= 2 x 20
= 40
Answer(s): 40
