Shiyun bought 3 tarts more than muffins. Each tart cost $0.80 while each muffin cost $1.50. Given that she spent $26.30 less on the tarts than on the muffins, how many tarts did Shiyun buy?
| |
Muffins |
Tarts |
Difference |
| Number |
1 u |
1 u + 3 |
|
| Value |
1.50 |
0.80 |
|
| Total value |
1.5 u |
0.8 u + 2.4 |
0.7 u - 2.4 |
Amount that Shiyun paid for the muffins
= 1 u x 1.5
= 1.5 u
Amount that Shiyun paid for the tarts
= 0.8 x (1 u + 3)
= 0.8 u + 2.4
Amount that Shiyun paid less on the tarts than the muffins
= 1.5 u - (0.8 u + 2.4)
= 1.5 u - 0.8 u - 2.4
= 0.7 u - 2.4
0.7 u - 2.4 = 26.30
0.7 u = 26.30 + 2.4
0.7 u = 28.7
1 u = 28.7 ÷ 0.7 = 41
Number of tarts that Shiyun bought
= 1 u + 3
= 41 + 3
= 44
Answer(s): 44
