The ratio of the number of tarts to the number of macarons in a supermarket is 5 : 1. A tart costs $1.20 and a macaron costs $0.70. If all the tarts and macarons are sold, a sum of $268 will be collected. How many tarts are there altogether?
|
Tarts |
Macarons |
Total |
Number |
5 u |
1 u |
|
Value |
$1.20 |
$0.70 |
|
Total value |
6 u |
0.7 u |
$268 |
Amount collected if all the tarts are sold
= 5 u x 1.2
= 6 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
= 6 u + 0.7 u
= 6.7 u
6.7 u = 268
1 u = 268 ÷ 6.7 = 40
Total number of tarts
= 5 u
= 5 x 40
= 200
Answer(s): 200