Aunt Jen made 85 less cookies than scones. After she gave 0.9 of the cookies and
35 of the scones to Marion, she was left with 52 less cookies than scones. How many scones did she make?
| |
Cookies |
Scones |
Comparing cookies
and scones at first |
|
85 more |
Before |
10 u |
5x2 + 85 =
10 u + 85 |
Change |
- 9 u |
- 3x2 - 51 =
- 6 u - 51
|
After |
1 u |
2x2 + 34 =
4 u + 34 |
Comparing cookies
and scones in the end |
|
52 more |
0.9 =
910 35 x 85 = 51
Number of scones that Aunt Jen gave to Marion = 6 u + 51
If Aunt Jen made another 52 cookies in the end, the number of cookies and scones in the end would be the same.
4 u + 34 = 1 u + 52
4 u - 1 u = 52 - 34
3 u = 18
1 u = 18 ÷ 3 = 6
Number of scones that Aunt Jen made
= 10 u + 85
= 10 x 6 + 85
= 60 + 85
= 145
Answer(s): 145
