The ratio of the number of scones to the number of wafers in a shop is 6 : 1. A scone costs $1.50 and a wafer costs $0.80. If all the scones and wafers are sold, a sum of $196 will be collected. How many scones are there altogether?
|
Scones |
Wafers |
Total |
Number |
6 u |
1 u |
|
Value |
$1.50 |
$0.80 |
|
Total value |
9 u |
0.8 u |
$196 |
Amount collected if all the scones are sold
= 6 u x 1.5
= 9 u
Amount collected if all the wafers are sold
= 1 u x 0.8 u
= 0.8 u
Amount collected if all the scones and wafers are sold
= 9 u + 0.8 u
= 9.8 u
9.8 u = 196
1 u = 196 ÷ 9.8 = 20
Total number of scones
= 6 u
= 6 x 20
= 120
Answer(s): 120