The ratio of the number of tarts to the number of cupcakes in a shop is 6 : 1. A tart costs $1.40 and a cupcake costs $0.50. If all the tarts and cupcakes are sold, a sum of $267 will be collected. How many tarts are there altogether?
| |
Tarts |
Cupcakes |
Total |
| Number |
6 u |
1 u |
|
| Value |
$1.40 |
$0.50 |
|
| Total value |
8.4 u |
0.5 u |
$267 |
Amount collected if all the tarts are sold
= 6 u x 1.4
= 8.4 u
Amount collected if all the cupcakes are sold
= 1 u x 0.5 u
= 0.5 u
Amount collected if all the tarts and cupcakes are sold
= 8.4 u + 0.5 u
= 8.9 u
8.9 u = 267
1 u = 267 ÷ 8.9 = 30
Total number of tarts
= 6 u
= 6 x 30
= 180
Answer(s): 180
