Aunt Lucy made 45 less wafers than muffins. After she gave 0.9 of the wafers and
25 of the muffins to Winnie, she was left with 107 less wafers than muffins. How many muffins did she make?
|
Wafers |
Muffins |
Comparing wafers and muffins at first |
|
45 more |
Before |
10 u |
5x2 + 45 = 10 u + 45 |
Change |
- 9 u |
- 2x2 - 18 = - 4 u - 18
|
After |
1 u |
3x2 + 27 = 6 u + 27 |
Comparing wafers and muffins in the end |
|
107 more |
0.9 =
910 25 x 45 = 18
Number of muffins that Aunt Lucy gave to Winnie = 4 u + 18
If Aunt Lucy made another 107 wafers in the end, the number of wafers and muffins in the end would be the same.
6 u + 27 = 1 u + 107
6 u - 1 u = 107 - 27
5 u = 80
1 u = 80 ÷ 5 = 16
Number of muffins that Aunt Lucy made
= 10 u + 45
= 10 x 16 + 45
= 160 + 45
= 205
Answer(s): 205