The ratio of the number of shortbreads to the number of puffs in a supermarket is 4 : 1. A shortbread costs $1.20 and a puff costs $0.30. If all the shortbreads and puffs are sold, a sum of $51 will be collected. How many shortbreads are there altogether?
|
Shortbreads |
Puffs |
Total |
Number |
4 u |
1 u |
|
Value |
$1.20 |
$0.30 |
|
Total value |
4.8 u |
0.3 u |
$51 |
Amount collected if all the shortbreads are sold
= 4 u x 1.2
= 4.8 u
Amount collected if all the puffs are sold
= 1 u x 0.3 u
= 0.3 u
Amount collected if all the shortbreads and puffs are sold
= 4.8 u + 0.3 u
= 5.1 u
5.1 u = 51
1 u = 51 ÷ 5.1 = 10
Total number of shortbreads
= 4 u
= 4 x 10
= 40
Answer(s): 40