Barbara bought 5 cookies more than tarts. Each cookie cost $1.40 while each tart cost $1.50. Given that she spent $24.40 in total, how many tarts did Barbara buy?
| |
Tarts |
Cookies |
Total |
| Number |
1 u |
1 u + 5 |
|
| Value |
$1.50 |
$1.40 |
|
| Total value |
1.5 u |
1.4 u + 7 |
1.4 u + 7 |
Amount that Barbara paid for the tarts
= 1 u x 1.50
= 1.5 u
Amount that Barbara paid for cookies
= 1.4 x (1 u + 5)
= 1.4 u + 7
Total amount that Barbara paid
= 1.5 u + 1.4 u + 7
= 2.9 u + 7
2.9 u + 7 = 24.4
2.9 u = 24.4 - 7
2.9 u = 17.4
1 u = 17.4 ÷ 2.9 = 6
Number of tarts that Barbara bought
= 1 u
= 6
Answer(s): 6
