Aunt Betty made 100 less puffs than muffins. After she gave 0.7 of the puffs and
25 of the muffins to Emily, she was left with 114 less puffs than muffins. How many muffins did she make?
|
Puffs |
Muffins |
Comparing puffs and muffins at first |
|
100 more |
Before |
10 u |
5x2 + 100 = 10 u + 100 |
Change |
- 7 u |
- 2x2 - 40 = - 4 u - 40
|
After |
3 u |
3x2 + 60 = 6 u + 60 |
Comparing puffs and muffins in the end |
|
114 more |
0.7 =
710 25 x 100 = 40
Number of muffins that Aunt Betty gave to Emily = 4 u + 40
If Aunt Betty made another 114 puffs in the end, the number of puffs and muffins in the end would be the same.
6 u + 60 = 3 u + 114
6 u - 3 u = 114 - 60
3 u = 54
1 u = 54 ÷ 3 = 18
Number of muffins that Aunt Betty made
= 10 u + 100
= 10 x 18 + 100
= 180 + 100
= 280
Answer(s): 280