The ratio of the number of puffs to the number of shortbreads in a stall is 6 : 1. A puff costs $1.30 and a shortbread costs $0.60. If all the puffs and shortbreads are sold, a sum of $252 will be collected. How many puffs are there altogether?
|
Puffs |
Shortbreads |
Total |
Number |
6 u |
1 u |
|
Value |
$1.30 |
$0.60 |
|
Total value |
7.8 u |
0.6 u |
$252 |
Amount collected if all the puffs are sold
= 6 u x 1.3
= 7.8 u
Amount collected if all the shortbreads are sold
= 1 u x 0.6 u
= 0.6 u
Amount collected if all the puffs and shortbreads are sold
= 7.8 u + 0.6 u
= 8.4 u
8.4 u = 252
1 u = 252 ÷ 8.4 = 30
Total number of puffs
= 6 u
= 6 x 30
= 180
Answer(s): 180