The ratio of the number of scones to the number of shortbreads in a stall is 5 : 1. A scone costs $1.90 and a shortbread costs $0.60. If all the scones and shortbreads are sold, a sum of $202 will be collected. How many scones are there altogether?
|
Scones |
Shortbreads |
Total |
Number |
5 u |
1 u |
|
Value |
$1.90 |
$0.60 |
|
Total value |
9.5 u |
0.6 u |
$202 |
Amount collected if all the scones are sold
= 5 u x 1.9
= 9.5 u
Amount collected if all the shortbreads are sold
= 1 u x 0.6 u
= 0.6 u
Amount collected if all the scones and shortbreads are sold
= 9.5 u + 0.6 u
= 10.1 u
10.1 u = 202
1 u = 202 ÷ 10.1 = 20
Total number of scones
= 5 u
= 5 x 20
= 100
Answer(s): 100