Aunt Jaslyn made 90 less tarts than biscuits. After she gave 0.9 of the tarts and
35 of the biscuits to Erika, she was left with 75 less tarts than biscuits. How many biscuits did she make?
|
Tarts |
Biscuits |
Comparing tarts and biscuits at first |
|
90 more |
Before |
10 u |
5x2 + 90 = 10 u + 90 |
Change |
- 9 u |
- 3x2 - 54 = - 6 u - 54
|
After |
1 u |
2x2 + 36 = 4 u + 36 |
Comparing tarts and biscuits in the end |
|
75 more |
0.9 =
910 35 x 90 = 54
Number of biscuits that Aunt Jaslyn gave to Erika = 6 u + 54
If Aunt Jaslyn made another 75 tarts in the end, the number of tarts and biscuits in the end would be the same.
4 u + 36 = 1 u + 75
4 u - 1 u = 75 - 36
3 u = 39
1 u = 39 ÷ 3 = 13
Number of biscuits that Aunt Jaslyn made
= 10 u + 90
= 10 x 13 + 90
= 130 + 90
= 220
Answer(s): 220