The ratio of the number of shortbreads to the number of puffs in a stall is 6 : 1. A shortbread costs $1.80 and a puff costs $0.40. If all the shortbreads and puffs are sold, a sum of $448 will be collected. How many shortbreads are there altogether?
|
Shortbreads |
Puffs |
Total |
Number |
6 u |
1 u |
|
Value |
$1.80 |
$0.40 |
|
Total value |
10.8 u |
0.4 u |
$448 |
Amount collected if all the shortbreads are sold
= 6 u x 1.8
= 10.8 u
Amount collected if all the puffs are sold
= 1 u x 0.4 u
= 0.4 u
Amount collected if all the shortbreads and puffs are sold
= 10.8 u + 0.4 u
= 11.2 u
11.2 u = 448
1 u = 448 ÷ 11.2 = 40
Total number of shortbreads
= 6 u
= 6 x 40
= 240
Answer(s): 240