The ratio of the number of muffins to the number of scones in a stall is 6 : 1. A muffin costs $1.70 and a scone costs $0.30. If all the muffins and scones are sold, a sum of $315 will be collected. How many muffins are there altogether?
| |
Muffins |
Scones |
Total |
| Number |
6 u |
1 u |
|
| Value |
$1.70 |
$0.30 |
|
| Total value |
10.2 u |
0.3 u |
$315 |
Amount collected if all the muffins are sold
= 6 u x 1.7
= 10.2 u
Amount collected if all the scones are sold
= 1 u x 0.3 u
= 0.3 u
Amount collected if all the muffins and scones are sold
= 10.2 u + 0.3 u
= 10.5 u
10.5 u = 315
1 u = 315 ÷ 10.5 = 30
Total number of muffins
= 6 u
= 6 x 30
= 180
Answer(s): 180
