The ratio of the number of muffins to the number of croissants in a kiosk is 6 : 1. A muffin costs $1.60 and a croissant costs $0.70. If all the muffins and croissants are sold, a sum of $206 will be collected. How many muffins are there altogether?
| |
Muffins |
Croissants |
Total |
| Number |
6 u |
1 u |
|
| Value |
$1.60 |
$0.70 |
|
| Total value |
9.6 u |
0.7 u |
$206 |
Amount collected if all the muffins are sold
= 6 u x 1.6
= 9.6 u
Amount collected if all the croissants are sold
= 1 u x 0.7 u
= 0.7 u
Amount collected if all the muffins and croissants are sold
= 9.6 u + 0.7 u
= 10.3 u
10.3 u = 206
1 u = 206 ÷ 10.3 = 20
Total number of muffins
= 6 u
= 6 x 20
= 120
Answer(s): 120
