Aunt Cindy made 70 more scones than shortbreads. After she gave 0.7 of the scones and
25 of the shortbreads to Barbara, she was left with 87 more scones than shortbreads. How many scones did she make?
|
Scones |
Shortbreads |
Comparing scones and shortbreads at first |
|
70 more |
Before |
10 u |
5x2 + 70 = 10 u + 70 |
Change |
- 7 u |
- 2x2 - 28 = - 4 u - 28
|
After |
3 u |
3x2 + 42 = 6 u + 42 |
Comparing scones and shortbreads in the end |
|
87 more |
0.7 =
710 25 x 70 = 28
Number of shortbreads that Aunt Cindy gave to Barbara = 4 u + 28
If Aunt Cindy made another 87 scones in the end, the number of scones and shortbreads in the end would be the same.
6 u + 42 = 3 u + 87
6 u - 3 u = 87 - 42
3 u = 45
1 u = 45 ÷ 3 = 15
Number of scones that Aunt Cindy made
= 10 u
= 10 x 15
= 150
Answer(s): 150