Aunt Marion made 65 more shortbreads than cookies. After she gave 0.9 of the shortbreads and
25 of the cookies to Jen, she was left with 84 more shortbreads than cookies. How many shortbreads did she make?
|
Shortbreads |
Cookies |
Comparing shortbreads and cookies at first |
|
65 more |
Before |
10 u |
5x2 + 65 = 10 u + 65 |
Change |
- 9 u |
- 2x2 - 26 = - 4 u - 26
|
After |
1 u |
3x2 + 39 = 6 u + 39 |
Comparing shortbreads and cookies in the end |
|
84 more |
0.9 =
910 25 x 65 = 26
Number of cookies that Aunt Marion gave to Jen = 4 u + 26
If Aunt Marion made another 84 shortbreads in the end, the number of shortbreads and cookies in the end would be the same.
6 u + 39 = 1 u + 84
6 u - 1 u = 84 - 39
5 u = 45
1 u = 45 ÷ 5 = 9
Number of shortbreads that Aunt Marion made
= 10 u
= 10 x 9
= 90
Answer(s): 90