Raeann bought 6 wafers more than muffins. Each wafer cost $0.80 while each muffin cost $1.70. Given that she spent $27.60 less on the wafers than on the muffins, how many wafers did Raeann buy?
| |
Muffins |
Wafers |
Difference |
| Number |
1 u |
1 u + 6 |
|
| Value |
1.70 |
0.80 |
|
| Total value |
1.7 u |
0.8 u + 4.8 |
0.9 u - 4.8 |
Amount that Raeann paid for the muffins
= 1 u x 1.7
= 1.7 u
Amount that Raeann paid for the wafers
= 0.8 x (1 u + 6)
= 0.8 u + 4.8
Amount that Raeann paid less on the wafers than the muffins
= 1.7 u - (0.8 u + 4.8)
= 1.7 u - 0.8 u - 4.8
= 0.9 u - 4.8
0.9 u - 4.8 = 27.60
0.9 u = 27.60 + 4.8
0.9 u = 32.4
1 u = 32.4 ÷ 0.9 = 36
Number of wafers that Raeann bought
= 1 u + 6
= 36 + 6
= 42
Answer(s): 42
