The ratio of the number of tarts to the number of biscuits in a shop is 4 : 1. A tart costs $1.60 and a biscuit costs $0.40. If all the tarts and biscuits are sold, a sum of $272 will be collected. How many tarts are there altogether?
| |
Tarts |
Biscuits |
Total |
| Number |
4 u |
1 u |
|
| Value |
$1.60 |
$0.40 |
|
| Total value |
6.4 u |
0.4 u |
$272 |
Amount collected if all the tarts are sold
= 4 u x 1.6
= 6.4 u
Amount collected if all the biscuits are sold
= 1 u x 0.4 u
= 0.4 u
Amount collected if all the tarts and biscuits are sold
= 6.4 u + 0.4 u
= 6.8 u
6.8 u = 272
1 u = 272 ÷ 6.8 = 40
Total number of tarts
= 4 u
= 4 x 40
= 160
Answer(s): 160
