Hazel bought 10 wafers more than muffins. Each wafer cost $0.70 while each muffin cost $1.60. Given that she spent $26.30 less on the wafers than on the muffins, how many wafers did Hazel buy?
| |
Muffins |
Wafers |
Difference |
| Number |
1 u |
1 u + 10 |
|
| Value |
1.60 |
0.70 |
|
| Total value |
1.6 u |
0.7 u + 7 |
0.9 u - 7 |
Amount that Hazel paid for the muffins
= 1 u x 1.6
= 1.6 u
Amount that Hazel paid for the wafers
= 0.7 x (1 u + 10)
= 0.7 u + 7
Amount that Hazel paid less on the wafers than the muffins
= 1.6 u - (0.7 u + 7)
= 1.6 u - 0.7 u - 7
= 0.9 u - 7
0.9 u - 7 = 26.30
0.9 u = 26.30 + 7
0.9 u = 33.3
1 u = 33.3 ÷ 0.9 = 37
Number of wafers that Hazel bought
= 1 u + 10
= 37 + 10
= 47
Answer(s): 47
