Aunt Cindy made 60 more muffins than macarons. After she gave 0.9 of the muffins and
35 of the macarons to Natalie, she was left with 42 more muffins than macarons. How many muffins did she make?
|
Muffins |
Macarons |
Comparing muffins and macarons at first |
|
60 more |
Before |
10 u |
5x2 + 60 = 10 u + 60 |
Change |
- 9 u |
- 3x2 - 36 = - 6 u - 36
|
After |
1 u |
2x2 + 24 = 4 u + 24 |
Comparing muffins and macarons in the end |
|
42 more |
0.9 =
910 35 x 60 = 36
Number of macarons that Aunt Cindy gave to Natalie = 6 u + 36
If Aunt Cindy made another 42 muffins in the end, the number of muffins and macarons in the end would be the same.
4 u + 24 = 1 u + 42
4 u - 1 u = 42 - 24
3 u = 18
1 u = 18 ÷ 3 = 6
Number of muffins that Aunt Cindy made
= 10 u
= 10 x 6
= 60
Answer(s): 60