The ratio of the number of scones to the number of cookies in a shop is 6 : 1. A scone costs $1.90 and a cookie costs $0.40. If all the scones and cookies are sold, a sum of $354 will be collected. How many scones are there altogether?
| |
Scones |
Cookies |
Total |
| Number |
6 u |
1 u |
|
| Value |
$1.90 |
$0.40 |
|
| Total value |
11.4 u |
0.4 u |
$354 |
Amount collected if all the scones are sold
= 6 u x 1.9
= 11.4 u
Amount collected if all the cookies are sold
= 1 u x 0.4 u
= 0.4 u
Amount collected if all the scones and cookies are sold
= 11.4 u + 0.4 u
= 11.8 u
11.8 u = 354
1 u = 354 ÷ 11.8 = 30
Total number of scones
= 6 u
= 6 x 30
= 180
Answer(s): 180
