Gwen bought 7 muffins more than biscuits. Each muffin cost $0.90 while each biscuit cost $1.70. Given that she spent $27.30 less on the muffins than on the biscuits, how many muffins did Gwen buy?
| |
Biscuits |
Muffins |
Difference |
| Number |
1 u |
1 u + 7 |
|
| Value |
1.70 |
0.90 |
|
| Total value |
1.7 u |
0.9 u + 6.3 |
0.8 u - 6.3 |
Amount that Gwen paid for the biscuits
= 1 u x 1.7
= 1.7 u
Amount that Gwen paid for the muffins
= 0.9 x (1 u + 7)
= 0.9 u + 6.3
Amount that Gwen paid less on the muffins than the biscuits
= 1.7 u - (0.9 u + 6.3)
= 1.7 u - 0.9 u - 6.3
= 0.8 u - 6.3
0.8 u - 6.3 = 27.30
0.8 u = 27.30 + 6.3
0.8 u = 33.6
1 u = 33.6 ÷ 0.8 = 42
Number of muffins that Gwen bought
= 1 u + 7
= 42 + 7
= 49
Answer(s): 49
