The ratio of the number of tarts to the number of shortbreads in a stall is 3 : 1. A tart costs $1.70 and a shortbread costs $0.50. If all the tarts and shortbreads are sold, a sum of $224 will be collected. How many tarts are there altogether?
| |
Tarts |
Shortbreads |
Total |
| Number |
3 u |
1 u |
|
| Value |
$1.70 |
$0.50 |
|
| Total value |
5.1 u |
0.5 u |
$224 |
Amount collected if all the tarts are sold
= 3 u x 1.7
= 5.1 u
Amount collected if all the shortbreads are sold
= 1 u x 0.5 u
= 0.5 u
Amount collected if all the tarts and shortbreads are sold
= 5.1 u + 0.5 u
= 5.6 u
5.6 u = 224
1 u = 224 ÷ 5.6 = 40
Total number of tarts
= 3 u
= 3 x 40
= 120
Answer(s): 120
