The ratio of the number of shortbreads to the number of muffins in a kiosk is 3 : 1. A shortbread costs $1.80 and a muffin costs $0.70. If all the shortbreads and muffins are sold, a sum of $183 will be collected. How many shortbreads are there altogether?
|
Shortbreads |
Muffins |
Total |
Number |
3 u |
1 u |
|
Value |
$1.80 |
$0.70 |
|
Total value |
5.4 u |
0.7 u |
$183 |
Amount collected if all the shortbreads are sold
= 3 u x 1.8
= 5.4 u
Amount collected if all the muffins are sold
= 1 u x 0.7 u
= 0.7 u
Amount collected if all the shortbreads and muffins are sold
= 5.4 u + 0.7 u
= 6.1 u
6.1 u = 183
1 u = 183 ÷ 6.1 = 30
Total number of shortbreads
= 3 u
= 3 x 30
= 90
Answer(s): 90