Aunt Nora made 55 more biscuits than muffins. After she gave 0.9 of the biscuits and
35 of the muffins to Gem, she was left with 58 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 |
- 9 u |
- 3x2 - 33 = - 6 u - 33
|
After |
1 u |
2x2 + 22 = 4 u + 22 |
Comparing biscuits and muffins in the end |
|
58 more |
0.9 =
910 35 x 55 = 33
Number of muffins that Aunt Nora gave to Gem = 6 u + 33
If Aunt Nora made another 58 biscuits in the end, the number of biscuits and muffins in the end would be the same.
4 u + 22 = 1 u + 58
4 u - 1 u = 58 - 22
3 u = 36
1 u = 36 ÷ 3 = 12
Number of biscuits that Aunt Nora made
= 10 u
= 10 x 12
= 120
Answer(s): 120