Aunt Gwen made 85 more shortbreads than scones. After she gave 0.9 of the shortbreads and
35 of the scones to Hazel, she was left with 94 more shortbreads than scones. How many shortbreads did she make?
| |
Shortbreads |
Scones |
Comparing shortbreads
and scones at first |
|
85 more |
Before |
10 u |
5x2 + 85 =
10 u + 85 |
Change |
- 9 u |
- 3x2 - 51 =
- 6 u - 51
|
After |
1 u |
2x2 + 34 =
4 u + 34 |
Comparing shortbreads
and scones in the end |
|
94 more |
0.9 =
910 35 x 85 = 51
Number of scones that Aunt Gwen gave to Hazel = 6 u + 51
If Aunt Gwen made another 94 shortbreads in the end, the number of shortbreads and scones in the end would be the same.
4 u + 34 = 1 u + 94
4 u - 1 u = 94 - 34
3 u = 60
1 u = 60 ÷ 3 = 20
Number of shortbreads that Aunt Gwen made
= 10 u
= 10 x 20
= 200
Answer(s): 200
