The ratio of the number of tarts to the number of shortbreads in a shop is 6 : 1. A tart costs $1.50 and a shortbread costs $0.90. If all the tarts and shortbreads are sold, a sum of $198 will be collected. How many tarts are there altogether?
| |
Tarts |
Shortbreads |
Total |
| Number |
6 u |
1 u |
|
| Value |
$1.50 |
$0.90 |
|
| Total value |
9 u |
0.9 u |
$198 |
Amount collected if all the tarts are sold
= 6 u x 1.5
= 9 u
Amount collected if all the shortbreads are sold
= 1 u x 0.9 u
= 0.9 u
Amount collected if all the tarts and shortbreads are sold
= 9 u + 0.9 u
= 9.9 u
9.9 u = 198
1 u = 198 ÷ 9.9 = 20
Total number of tarts
= 6 u
= 6 x 20
= 120
Answer(s): 120
