Aunt Olivia made 55 more shortbreads than cookies. After she gave 0.7 of the shortbreads and
25 of the cookies to Hilda, she was left with 84 more shortbreads than cookies. How many shortbreads did she make?
| |
Shortbreads |
Cookies |
Comparing shortbreads
and cookies at first |
|
55 more |
Before |
10 u |
5x2 + 55 =
10 u + 55 |
Change |
- 7 u |
- 2x2 - 22 =
- 4 u - 22
|
After |
3 u |
3x2 + 33 =
6 u + 33 |
Comparing shortbreads
and cookies in the end |
|
84 more |
0.7 =
710 25 x 55 = 22
Number of cookies that Aunt Olivia gave to Hilda = 4 u + 22
If Aunt Olivia made another 84 shortbreads in the end, the number of shortbreads and cookies in the end would be the same.
6 u + 33 = 3 u + 84
6 u - 3 u = 84 - 33
3 u = 51
1 u = 51 ÷ 3 = 17
Number of shortbreads that Aunt Olivia made
= 10 u
= 10 x 17
= 170
Answer(s): 170
