Aunt Diana made 90 more tarts than biscuits. After she gave 0.9 of the tarts and
25 of the biscuits to Joelle, she was left with 139 more tarts than biscuits. How many tarts did she make?
|
Tarts |
Biscuits |
Comparing tarts 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 tarts and biscuits in the end |
|
139 more |
0.9 =
910 25 x 90 = 36
Number of biscuits that Aunt Diana gave to Joelle = 4 u + 36
If Aunt Diana made another 139 tarts in the end, the number of tarts and biscuits in the end would be the same.
6 u + 54 = 1 u + 139
6 u - 1 u = 139 - 54
5 u = 85
1 u = 85 ÷ 5 = 17
Number of tarts that Aunt Diana made
= 10 u
= 10 x 17
= 170
Answer(s): 170