Pamela bought 10 scones more than cookies. Each scone cost $0.40 while each cookie cost $1.80. Given that she spent $25.40 less on the scones than on the cookies, how many scones did Pamela buy?
| |
Cookies |
Scones |
Difference |
| Number |
1 u |
1 u + 10 |
|
| Value |
1.80 |
0.40 |
|
| Total value |
1.8 u |
0.4 u + 4 |
1.4 u - 4 |
Amount that Pamela paid for the cookies
= 1 u x 1.8
= 1.8 u
Amount that Pamela paid for the scones
= 0.4 x (1 u + 10)
= 0.4 u + 4
Amount that Pamela paid less on the scones than the cookies
= 1.8 u - (0.4 u + 4)
= 1.8 u - 0.4 u - 4
= 1.4 u - 4
1.4 u - 4 = 25.40
1.4 u = 25.40 + 4
1.4 u = 29.4
1 u = 29.4 ÷ 1.4 = 21
Number of scones that Pamela bought
= 1 u + 10
= 21 + 10
= 31
Answer(s): 31
