Aunt Mary made 50 less tarts than biscuits. After she gave 0.9 of the tarts and
25 of the biscuits to Jade, she was left with 55 less tarts than biscuits. How many biscuits did she make?
|
Tarts |
Biscuits |
Comparing tarts and biscuits at first |
|
50 more |
Before |
10 u |
5x2 + 50 = 10 u + 50 |
Change |
- 9 u |
- 2x2 - 20 = - 4 u - 20
|
After |
1 u |
3x2 + 30 = 6 u + 30 |
Comparing tarts and biscuits in the end |
|
55 more |
0.9 =
910 25 x 50 = 20
Number of biscuits that Aunt Mary gave to Jade = 4 u + 20
If Aunt Mary made another 55 tarts in the end, the number of tarts and biscuits in the end would be the same.
6 u + 30 = 1 u + 55
6 u - 1 u = 55 - 30
5 u = 25
1 u = 25 ÷ 5 = 5
Number of biscuits that Aunt Mary made
= 10 u + 50
= 10 x 5 + 50
= 50 + 50
= 100
Answer(s): 100