The ratio of the number of tarts to the number of cupcakes in a stall is 4 : 1. A tart costs $1.60 and a cupcake costs $0.80. If all the tarts and cupcakes are sold, a sum of $144 will be collected. How many tarts are there altogether?
| |
Tarts |
Cupcakes |
Total |
| Number |
4 u |
1 u |
|
| Value |
$1.60 |
$0.80 |
|
| Total value |
6.4 u |
0.8 u |
$144 |
Amount collected if all the tarts are sold
= 4 u x 1.6
= 6.4 u
Amount collected if all the cupcakes are sold
= 1 u x 0.8 u
= 0.8 u
Amount collected if all the tarts and cupcakes are sold
= 6.4 u + 0.8 u
= 7.2 u
7.2 u = 144
1 u = 144 ÷ 7.2 = 20
Total number of tarts
= 4 u
= 4 x 20
= 80
Answer(s): 80
