The ratio of the number of muffins to the number of biscuits in a stall is 3 : 1. A muffin costs $1.10 and a biscuit costs $0.70. If all the muffins and biscuits are sold, a sum of $160 will be collected. How many muffins are there altogether?
|
Muffins |
Biscuits |
Total |
Number |
3 u |
1 u |
|
Value |
$1.10 |
$0.70 |
|
Total value |
3.3 u |
0.7 u |
$160 |
Amount collected if all the muffins are sold
= 3 u x 1.1
= 3.3 u
Amount collected if all the biscuits are sold
= 1 u x 0.7 u
= 0.7 u
Amount collected if all the muffins and biscuits are sold
= 3.3 u + 0.7 u
= 4 u
4 u = 160
1 u = 160 ÷ 4 = 40
Total number of muffins
= 3 u
= 3 x 40
= 120
Answer(s): 120