Aunt Jane made 40 less biscuits than muffins. After she gave 0.7 of the biscuits and
25 of the muffins to Yen, she was left with 45 less biscuits than muffins. How many muffins did she make?
|
Biscuits |
Muffins |
Comparing biscuits and muffins at first |
|
40 more |
Before |
10 u |
5x2 + 40 = 10 u + 40 |
Change |
- 7 u |
- 2x2 - 16 = - 4 u - 16
|
After |
3 u |
3x2 + 24 = 6 u + 24 |
Comparing biscuits and muffins in the end |
|
45 more |
0.7 =
710 25 x 40 = 16
Number of muffins that Aunt Jane gave to Yen = 4 u + 16
If Aunt Jane made another 45 biscuits in the end, the number of biscuits and muffins in the end would be the same.
6 u + 24 = 3 u + 45
6 u - 3 u = 45 - 24
3 u = 21
1 u = 21 ÷ 3 = 7
Number of muffins that Aunt Jane made
= 10 u + 40
= 10 x 7 + 40
= 70 + 40
= 110
Answer(s): 110