Aunt Penelope made 100 more cookies than scones. After she gave 0.9 of the cookies and
35 of the scones to Wendy, she was left with 73 more cookies than scones. How many cookies did she make?
| |
Cookies |
Scones |
Comparing cookies
and scones at first |
|
100 more |
Before |
10 u |
5x2 + 100 =
10 u + 100 |
Change |
- 9 u |
- 3x2 - 60 =
- 6 u - 60
|
After |
1 u |
2x2 + 40 =
4 u + 40 |
Comparing cookies
and scones in the end |
|
73 more |
0.9 =
910 35 x 100 = 60
Number of scones that Aunt Penelope gave to Wendy = 6 u + 60
If Aunt Penelope made another 73 cookies in the end, the number of cookies and scones in the end would be the same.
4 u + 40 = 1 u + 73
4 u - 1 u = 73 - 40
3 u = 33
1 u = 33 ÷ 3 = 11
Number of cookies that Aunt Penelope made
= 10 u
= 10 x 11
= 110
Answer(s): 110
