Aunt Gillian made 90 less puffs than shortbreads. After she gave 0.7 of the puffs and
25 of the shortbreads to Olivia, she was left with 66 less puffs than shortbreads. How many shortbreads did she make?
| |
Puffs |
Shortbreads |
Comparing puffs
and shortbreads at first |
|
90 more |
Before |
10 u |
5x2 + 90 =
10 u + 90 |
Change |
- 7 u |
- 2x2 - 36 =
- 4 u - 36
|
After |
3 u |
3x2 + 54 =
6 u + 54 |
Comparing puffs
and shortbreads in the end |
|
66 more |
0.7 =
710 25 x 90 = 36
Number of shortbreads that Aunt Gillian gave to Olivia = 4 u + 36
If Aunt Gillian made another 66 puffs in the end, the number of puffs and shortbreads in the end would be the same.
6 u + 54 = 3 u + 66
6 u - 3 u = 66 - 54
3 u = 12
1 u = 12 ÷ 3 = 4
Number of shortbreads that Aunt Gillian made
= 10 u + 90
= 10 x 4 + 90
= 40 + 90
= 130
Answer(s): 130
