Aunt Elyse made 55 more biscuits than muffins. After she gave 0.7 of the biscuits and
25 of the muffins to Emily, she was left with 69 more biscuits than muffins. How many biscuits did she make?
|
Biscuits |
Muffins |
Comparing biscuits and muffins at first |
|
55 more |
Before |
10 u |
5x2 + 55 = 10 u + 55 |
Change |
- 7 u |
- 2x2 - 22 = - 4 u - 22
|
After |
3 u |
3x2 + 33 = 6 u + 33 |
Comparing biscuits and muffins in the end |
|
69 more |
0.7 =
710 25 x 55 = 22
Number of muffins that Aunt Elyse gave to Emily = 4 u + 22
If Aunt Elyse made another 69 biscuits in the end, the number of biscuits and muffins in the end would be the same.
6 u + 33 = 3 u + 69
6 u - 3 u = 69 - 33
3 u = 36
1 u = 36 ÷ 3 = 12
Number of biscuits that Aunt Elyse made
= 10 u
= 10 x 12
= 120
Answer(s): 120