The ratio of the number of shortbreads to the number of puffs in a kiosk is 3 : 1. A shortbread costs $1.10 and a puff costs $0.90. If all the shortbreads and puffs are sold, a sum of $168 will be collected. How many shortbreads are there altogether?
| |
Shortbreads |
Puffs |
Total |
| Number |
3 u |
1 u |
|
| Value |
$1.10 |
$0.90 |
|
| Total value |
3.3 u |
0.9 u |
$168 |
Amount collected if all the shortbreads are sold
= 3 u x 1.1
= 3.3 u
Amount collected if all the puffs are sold
= 1 u x 0.9 u
= 0.9 u
Amount collected if all the shortbreads and puffs are sold
= 3.3 u + 0.9 u
= 4.2 u
4.2 u = 168
1 u = 168 ÷ 4.2 = 40
Total number of shortbreads
= 3 u
= 3 x 40
= 120
Answer(s): 120
