Aunt Ivory made 60 more macarons than cookies. After she gave 0.9 of the macarons and
35 of the cookies to Hazel, she was left with 45 more macarons than cookies. How many macarons did she make?
| |
Macarons |
Cookies |
Comparing macarons
and cookies 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 macarons
and cookies in the end |
|
45 more |
0.9 =
910 35 x 60 = 36
Number of cookies that Aunt Ivory gave to Hazel = 6 u + 36
If Aunt Ivory made another 45 macarons in the end, the number of macarons and cookies in the end would be the same.
4 u + 24 = 1 u + 45
4 u - 1 u = 45 - 24
3 u = 21
1 u = 21 ÷ 3 = 7
Number of macarons that Aunt Ivory made
= 10 u
= 10 x 7
= 70
Answer(s): 70
