The ratio of the number of tarts to the number of wafers in a kiosk is 3 : 1. A tart costs $1.20 and a wafer costs $0.50. If all the tarts and wafers are sold, a sum of $123 will be collected. How many tarts are there altogether?
| |
Tarts |
Wafers |
Total |
| Number |
3 u |
1 u |
|
| Value |
$1.20 |
$0.50 |
|
| Total value |
3.6 u |
0.5 u |
$123 |
Amount collected if all the tarts are sold
= 3 u x 1.2
= 3.6 u
Amount collected if all the wafers are sold
= 1 u x 0.5 u
= 0.5 u
Amount collected if all the tarts and wafers are sold
= 3.6 u + 0.5 u
= 4.1 u
4.1 u = 123
1 u = 123 ÷ 4.1 = 30
Total number of tarts
= 3 u
= 3 x 30
= 90
Answer(s): 90
