The ratio of the number of tarts to the number of muffins in a stall is 6 : 1. A tart costs $1.60 and a muffin costs $0.40. If all the tarts and muffins are sold, a sum of $400 will be collected. How many tarts are there altogether?
| |
Tarts |
Muffins |
Total |
| Number |
6 u |
1 u |
|
| Value |
$1.60 |
$0.40 |
|
| Total value |
9.6 u |
0.4 u |
$400 |
Amount collected if all the tarts are sold
= 6 u x 1.6
= 9.6 u
Amount collected if all the muffins are sold
= 1 u x 0.4 u
= 0.4 u
Amount collected if all the tarts and muffins are sold
= 9.6 u + 0.4 u
= 10 u
10 u = 400
1 u = 400 ÷ 10 = 40
Total number of tarts
= 6 u
= 6 x 40
= 240
Answer(s): 240
