The ratio of the number of tarts to the number of biscuits in a shop is 6 : 1. A tart costs $1.90 and a biscuit costs $0.70. If all the tarts and biscuits are sold, a sum of $363 will be collected. How many tarts are there altogether?
|
Tarts |
Biscuits |
Total |
Number |
6 u |
1 u |
|
Value |
$1.90 |
$0.70 |
|
Total value |
11.4 u |
0.7 u |
$363 |
Amount collected if all the tarts are sold
= 6 u x 1.9
= 11.4 u
Amount collected if all the biscuits are sold
= 1 u x 0.7 u
= 0.7 u
Amount collected if all the tarts and biscuits are sold
= 11.4 u + 0.7 u
= 12.1 u
12.1 u = 363
1 u = 363 ÷ 12.1 = 30
Total number of tarts
= 6 u
= 6 x 30
= 180
Answer(s): 180