Aunt Kathy made 95 less cookies than biscuits. After she gave 0.9 of the cookies and
35 of the biscuits to Nora, she was left with 59 less cookies than biscuits. How many biscuits did she make?
| |
Cookies |
Biscuits |
Comparing cookies
and biscuits at first |
|
95 more |
Before |
10 u |
5x2 + 95 =
10 u + 95 |
Change |
- 9 u |
- 3x2 - 57 =
- 6 u - 57
|
After |
1 u |
2x2 + 38 =
4 u + 38 |
Comparing cookies
and biscuits in the end |
|
59 more |
0.9 =
910 35 x 95 = 57
Number of biscuits that Aunt Kathy gave to Nora = 6 u + 57
If Aunt Kathy made another 59 cookies in the end, the number of cookies and biscuits in the end would be the same.
4 u + 38 = 1 u + 59
4 u - 1 u = 59 - 38
3 u = 21
1 u = 21 ÷ 3 = 7
Number of biscuits that Aunt Kathy made
= 10 u + 95
= 10 x 7 + 95
= 70 + 95
= 165
Answer(s): 165
