The ratio of the number of scones to the number of muffins in a stall is 6 : 1. A scone costs $1.10 and a muffin costs $0.80. If all the scones and muffins are sold, a sum of $74 will be collected. How many scones are there altogether?
| |
Scones |
Muffins |
Total |
| Number |
6 u |
1 u |
|
| Value |
$1.10 |
$0.80 |
|
| Total value |
6.6 u |
0.8 u |
$74 |
Amount collected if all the scones are sold
= 6 u x 1.1
= 6.6 u
Amount collected if all the muffins are sold
= 1 u x 0.8 u
= 0.8 u
Amount collected if all the scones and muffins are sold
= 6.6 u + 0.8 u
= 7.4 u
7.4 u = 74
1 u = 74 ÷ 7.4 = 10
Total number of scones
= 6 u
= 6 x 10
= 60
Answer(s): 60
