The ratio of the number of puffs to the number of shortbreads in a supermarket is 2 : 1. A puff costs $1.70 and a shortbread costs $0.50. If all the puffs and shortbreads are sold, a sum of $117 will be collected. How many puffs are there altogether?
| |
Puffs |
Shortbreads |
Total |
| Number |
2 u |
1 u |
|
| Value |
$1.70 |
$0.50 |
|
| Total value |
3.4 u |
0.5 u |
$117 |
Amount collected if all the puffs are sold
= 2 u x 1.7
= 3.4 u
Amount collected if all the shortbreads are sold
= 1 u x 0.5 u
= 0.5 u
Amount collected if all the puffs and shortbreads are sold
= 3.4 u + 0.5 u
= 3.9 u
3.9 u = 117
1 u = 117 ÷ 3.9 = 30
Total number of puffs
= 2 u
= 2 x 30
= 60
Answer(s): 60
