Jean bought 10 tarts more than scones. Each tart cost $0.90 while each scone cost $1.80. Given that she spent $29.70 less on the tarts than on the scones, how many tarts did Jean buy?
| |
Scones |
Tarts |
Difference |
| Number |
1 u |
1 u + 10 |
|
| Value |
1.80 |
0.90 |
|
| Total value |
1.8 u |
0.9 u + 9 |
0.9 u - 9 |
Amount that Jean paid for the scones
= 1 u x 1.8
= 1.8 u
Amount that Jean paid for the tarts
= 0.9 x (1 u + 10)
= 0.9 u + 9
Amount that Jean paid less on the tarts than the scones
= 1.8 u - (0.9 u + 9)
= 1.8 u - 0.9 u - 9
= 0.9 u - 9
0.9 u - 9 = 29.70
0.9 u = 29.70 + 9
0.9 u = 38.7
1 u = 38.7 ÷ 0.9 = 43
Number of tarts that Jean bought
= 1 u + 10
= 43 + 10
= 53
Answer(s): 53
