Aunt Shannon made 50 less macarons than muffins. After she gave 0.9 of the macarons and
25 of the muffins to Jade, she was left with 120 less macarons than muffins. How many muffins did she make?
| |
Macarons |
Muffins |
Comparing macarons
and muffins at first |
|
50 more |
Before |
10 u |
5x2 + 50 =
10 u + 50 |
Change |
- 9 u |
- 2x2 - 20 =
- 4 u - 20
|
After |
1 u |
3x2 + 30 =
6 u + 30 |
Comparing macarons
and muffins in the end |
|
120 more |
0.9 =
910 25 x 50 = 20
Number of muffins that Aunt Shannon gave to Jade = 4 u + 20
If Aunt Shannon made another 120 macarons in the end, the number of macarons and muffins in the end would be the same.
6 u + 30 = 1 u + 120
6 u - 1 u = 120 - 30
5 u = 90
1 u = 90 ÷ 5 = 18
Number of muffins that Aunt Shannon made
= 10 u + 50
= 10 x 18 + 50
= 180 + 50
= 230
Answer(s): 230
