Aunt Tammy made 60 less macarons than cookies. After she gave 0.9 of the macarons and
35 of the cookies to Yoko, she was left with 54 less macarons than cookies. How many cookies 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 |
|
54 more |
0.9 =
910 35 x 60 = 36
Number of cookies that Aunt Tammy gave to Yoko = 6 u + 36
If Aunt Tammy made another 54 macarons in the end, the number of macarons and cookies in the end would be the same.
4 u + 24 = 1 u + 54
4 u - 1 u = 54 - 24
3 u = 30
1 u = 30 ÷ 3 = 10
Number of cookies that Aunt Tammy made
= 10 u + 60
= 10 x 10 + 60
= 100 + 60
= 160
Answer(s): 160
