Pamela bought 5 tarts more than biscuits. Each tart cost $0.50 while each biscuit cost $1.20. Given that she spent $25.50 less on the tarts than on the biscuits, how many tarts did Pamela buy?
| |
Biscuits |
Tarts |
Difference |
| Number |
1 u |
1 u + 5 |
|
| Value |
1.20 |
0.50 |
|
| Total value |
1.2 u |
0.5 u + 2.5 |
0.7 u - 2.5 |
Amount that Pamela paid for the biscuits
= 1 u x 1.2
= 1.2 u
Amount that Pamela paid for the tarts
= 0.5 x (1 u + 5)
= 0.5 u + 2.5
Amount that Pamela paid less on the tarts than the biscuits
= 1.2 u - (0.5 u + 2.5)
= 1.2 u - 0.5 u - 2.5
= 0.7 u - 2.5
0.7 u - 2.5 = 25.50
0.7 u = 25.50 + 2.5
0.7 u = 28
1 u = 28 ÷ 0.7 = 40
Number of tarts that Pamela bought
= 1 u + 5
= 40 + 5
= 45
Answer(s): 45
