Aunt Xylia made 90 less cookies than biscuits. After she gave 0.9 of the cookies and
25 of the biscuits to Vanessa, she was left with 154 less cookies than biscuits. How many biscuits did she make?
| |
Cookies |
Biscuits |
Comparing cookies
and biscuits at first |
|
90 more |
Before |
10 u |
5x2 + 90 =
10 u + 90 |
Change |
- 9 u |
- 2x2 - 36 =
- 4 u - 36
|
After |
1 u |
3x2 + 54 =
6 u + 54 |
Comparing cookies
and biscuits in the end |
|
154 more |
0.9 =
910 25 x 90 = 36
Number of biscuits that Aunt Xylia gave to Vanessa = 4 u + 36
If Aunt Xylia made another 154 cookies in the end, the number of cookies and biscuits in the end would be the same.
6 u + 54 = 1 u + 154
6 u - 1 u = 154 - 54
5 u = 100
1 u = 100 ÷ 5 = 20
Number of biscuits that Aunt Xylia made
= 10 u + 90
= 10 x 20 + 90
= 200 + 90
= 290
Answer(s): 290
