Aunt Vanessa made 100 less cookies than shortbreads. After she gave 0.9 of the cookies and
25 of the shortbreads to Betty, she was left with 95 less cookies than shortbreads. How many shortbreads did she make?
| |
Cookies |
Shortbreads |
Comparing cookies
and shortbreads at first |
|
100 more |
Before |
10 u |
5x2 + 100 =
10 u + 100 |
Change |
- 9 u |
- 2x2 - 40 =
- 4 u - 40
|
After |
1 u |
3x2 + 60 =
6 u + 60 |
Comparing cookies
and shortbreads in the end |
|
95 more |
0.9 =
910 25 x 100 = 40
Number of shortbreads that Aunt Vanessa gave to Betty = 4 u + 40
If Aunt Vanessa made another 95 cookies in the end, the number of cookies and shortbreads in the end would be the same.
6 u + 60 = 1 u + 95
6 u - 1 u = 95 - 60
5 u = 35
1 u = 35 ÷ 5 = 7
Number of shortbreads that Aunt Vanessa made
= 10 u + 100
= 10 x 7 + 100
= 70 + 100
= 170
Answer(s): 170
