Aunt Min made 45 less cookies than macarons. After she gave 0.9 of the cookies and
25 of the macarons to Marion, she was left with 52 less cookies than macarons. How many macarons did she make?
|
Cookies |
Macarons |
Comparing cookies and macarons at first |
|
45 more |
Before |
10 u |
5x2 + 45 = 10 u + 45 |
Change |
- 9 u |
- 2x2 - 18 = - 4 u - 18
|
After |
1 u |
3x2 + 27 = 6 u + 27 |
Comparing cookies and macarons in the end |
|
52 more |
0.9 =
910 25 x 45 = 18
Number of macarons that Aunt Min gave to Marion = 4 u + 18
If Aunt Min made another 52 cookies in the end, the number of cookies and macarons in the end would be the same.
6 u + 27 = 1 u + 52
6 u - 1 u = 52 - 27
5 u = 25
1 u = 25 ÷ 5 = 5
Number of macarons that Aunt Min made
= 10 u + 45
= 10 x 5 + 45
= 50 + 45
= 95
Answer(s): 95