The ratio of the number of tarts to the number of macarons in a supermarket is 2 : 1. A tart costs $1.70 and a macaron costs $0.70. If all the tarts and macarons are sold, a sum of $41 will be collected. How many tarts are there altogether?
| |
Tarts |
Macarons |
Total |
| Number |
2 u |
1 u |
|
| Value |
$1.70 |
$0.70 |
|
| Total value |
3.4 u |
0.7 u |
$41 |
Amount collected if all the tarts are sold
= 2 u x 1.7
= 3.4 u
Amount collected if all the macarons are sold
= 1 u x 0.7 u
= 0.7 u
Amount collected if all the tarts and macarons are sold
= 3.4 u + 0.7 u
= 4.1 u
4.1 u = 41
1 u = 41 ÷ 4.1 = 10
Total number of tarts
= 2 u
= 2 x 10
= 20
Answer(s): 20
