The ratio of the number of shortbreads to the number of tarts in a kiosk is 2 : 1. A shortbread costs $1.90 and a tart costs $0.70. If all the shortbreads and tarts are sold, a sum of $45 will be collected. How many shortbreads are there altogether?
| |
Shortbreads |
Tarts |
Total |
| Number |
2 u |
1 u |
|
| Value |
$1.90 |
$0.70 |
|
| Total value |
3.8 u |
0.7 u |
$45 |
Amount collected if all the shortbreads are sold
= 2 u x 1.9
= 3.8 u
Amount collected if all the tarts are sold
= 1 u x 0.7 u
= 0.7 u
Amount collected if all the shortbreads and tarts are sold
= 3.8 u + 0.7 u
= 4.5 u
4.5 u = 45
1 u = 45 ÷ 4.5 = 10
Total number of shortbreads
= 2 u
= 2 x 10
= 20
Answer(s): 20
