Jen bought 5 tarts more than cookies. Each tart cost $0.80 while each cookie cost $1.40. Given that she spent $25.40 less on the tarts than on the cookies, how many tarts did Jen buy?
| |
Cookies |
Tarts |
Difference |
| Number |
1 u |
1 u + 5 |
|
| Value |
1.40 |
0.80 |
|
| Total value |
1.4 u |
0.8 u + 4 |
0.6 u - 4 |
Amount that Jen paid for the cookies
= 1 u x 1.4
= 1.4 u
Amount that Jen paid for the tarts
= 0.8 x (1 u + 5)
= 0.8 u + 4
Amount that Jen paid less on the tarts than the cookies
= 1.4 u - (0.8 u + 4)
= 1.4 u - 0.8 u - 4
= 0.6 u - 4
0.6 u - 4 = 25.40
0.6 u = 25.40 + 4
0.6 u = 29.4
1 u = 29.4 ÷ 0.6 = 49
Number of tarts that Jen bought
= 1 u + 5
= 49 + 5
= 54
Answer(s): 54
