Aunt Yen made 65 less tarts than biscuits. After she gave 0.7 of the tarts and
25 of the biscuits to Fiona, she was left with 99 less tarts than biscuits. How many biscuits did she make?
|
Tarts |
Biscuits |
Comparing tarts and biscuits at first |
|
65 more |
Before |
10 u |
5x2 + 65 = 10 u + 65 |
Change |
- 7 u |
- 2x2 - 26 = - 4 u - 26
|
After |
3 u |
3x2 + 39 = 6 u + 39 |
Comparing tarts and biscuits in the end |
|
99 more |
0.7 =
710 25 x 65 = 26
Number of biscuits that Aunt Yen gave to Fiona = 4 u + 26
If Aunt Yen made another 99 tarts in the end, the number of tarts and biscuits in the end would be the same.
6 u + 39 = 3 u + 99
6 u - 3 u = 99 - 39
3 u = 60
1 u = 60 ÷ 3 = 20
Number of biscuits that Aunt Yen made
= 10 u + 65
= 10 x 20 + 65
= 200 + 65
= 265
Answer(s): 265