Aunt Jean made 90 less macarons than muffins. After she gave 0.9 of the macarons and
25 of the muffins to Ivory, she was left with 74 less macarons than muffins. How many muffins did she make?
| |
Macarons |
Muffins |
Comparing macarons
and muffins at first |
|
90 more |
Before |
10 u |
5x2 + 90 =
10 u + 90 |
Change |
- 9 u |
- 2x2 - 36 =
- 4 u - 36
|
After |
1 u |
3x2 + 54 =
6 u + 54 |
Comparing macarons
and muffins in the end |
|
74 more |
0.9 =
910 25 x 90 = 36
Number of muffins that Aunt Jean gave to Ivory = 4 u + 36
If Aunt Jean made another 74 macarons in the end, the number of macarons and muffins in the end would be the same.
6 u + 54 = 1 u + 74
6 u - 1 u = 74 - 54
5 u = 20
1 u = 20 ÷ 5 = 4
Number of muffins that Aunt Jean made
= 10 u + 90
= 10 x 4 + 90
= 40 + 90
= 130
Answer(s): 130
