Marion bought 5 wafers more than tarts. Each wafer cost $1.50 while each tart cost $1.30. Given that she spent $29.90 in total, how many tarts did Marion buy?
|
Tarts |
Wafers |
Total |
Number |
1 u |
1 u + 5 |
|
Value |
$1.30 |
$1.50 |
|
Total value |
1.3 u |
1.5 u + 7.5 |
1.5 u + 7.5 |
Amount that Marion paid for the tarts
= 1 u x 1.30
= 1.3 u
Amount that Marion paid for wafers
= 1.5 x (1 u + 5)
= 1.5 u + 7.5
Total amount that Marion paid
= 1.3 u + 1.5 u + 7.5
= 2.8 u + 7.5
2.8 u + 7.5 = 29.9
2.8 u = 29.9 - 7.5
2.8 u = 22.4
1 u = 22.4 ÷ 2.8 = 8
Number of tarts that Marion bought
= 1 u
= 8
Answer(s): 8