Aunt Tiffany made 75 less biscuits than cookies. After she gave 0.9 of the biscuits and
35 of the cookies to Usha, she was left with 48 less biscuits than cookies. How many cookies did she make?
|
Biscuits |
Cookies |
Comparing biscuits and cookies at first |
|
75 more |
Before |
10 u |
5x2 + 75 = 10 u + 75 |
Change |
- 9 u |
- 3x2 - 45 = - 6 u - 45
|
After |
1 u |
2x2 + 30 = 4 u + 30 |
Comparing biscuits and cookies in the end |
|
48 more |
0.9 =
910 35 x 75 = 45
Number of cookies that Aunt Tiffany gave to Usha = 6 u + 45
If Aunt Tiffany made another 48 biscuits in the end, the number of biscuits and cookies in the end would be the same.
4 u + 30 = 1 u + 48
4 u - 1 u = 48 - 30
3 u = 18
1 u = 18 ÷ 3 = 6
Number of cookies that Aunt Tiffany made
= 10 u + 75
= 10 x 6 + 75
= 60 + 75
= 135
Answer(s): 135