The ratio of the number of tarts to the number of croissants in a shop is 4 : 1. A tart costs $1.30 and a croissant costs $0.50. If all the tarts and croissants are sold, a sum of $114 will be collected. How many tarts are there altogether?
| |
Tarts |
Croissants |
Total |
| Number |
4 u |
1 u |
|
| Value |
$1.30 |
$0.50 |
|
| Total value |
5.2 u |
0.5 u |
$114 |
Amount collected if all the tarts are sold
= 4 u x 1.3
= 5.2 u
Amount collected if all the croissants are sold
= 1 u x 0.5 u
= 0.5 u
Amount collected if all the tarts and croissants are sold
= 5.2 u + 0.5 u
= 5.7 u
5.7 u = 114
1 u = 114 ÷ 5.7 = 20
Total number of tarts
= 4 u
= 4 x 20
= 80
Answer(s): 80
