The ratio of the number of puffs to the number of tarts in a stall is 5 : 1. A puff costs $1.20 and a tart costs $0.50. If all the puffs and tarts are sold, a sum of $195 will be collected. How many puffs are there altogether?
| |
Puffs |
Tarts |
Total |
| Number |
5 u |
1 u |
|
| Value |
$1.20 |
$0.50 |
|
| Total value |
6 u |
0.5 u |
$195 |
Amount collected if all the puffs are sold
= 5 u x 1.2
= 6 u
Amount collected if all the tarts are sold
= 1 u x 0.5 u
= 0.5 u
Amount collected if all the puffs and tarts are sold
= 6 u + 0.5 u
= 6.5 u
6.5 u = 195
1 u = 195 ÷ 6.5 = 30
Total number of puffs
= 5 u
= 5 x 30
= 150
Answer(s): 150
