Aunt Raeann made 45 less biscuits than puffs. After she gave 0.9 of the biscuits and
35 of the puffs to Xandra, she was left with 57 less biscuits than puffs. How many puffs did she make?
|
Biscuits |
Puffs |
Comparing biscuits and puffs at first |
|
45 more |
Before |
10 u |
5x2 + 45 = 10 u + 45 |
Change |
- 9 u |
- 3x2 - 27 = - 6 u - 27
|
After |
1 u |
2x2 + 18 = 4 u + 18 |
Comparing biscuits and puffs in the end |
|
57 more |
0.9 =
910 35 x 45 = 27
Number of puffs that Aunt Raeann gave to Xandra = 6 u + 27
If Aunt Raeann made another 57 biscuits in the end, the number of biscuits and puffs in the end would be the same.
4 u + 18 = 1 u + 57
4 u - 1 u = 57 - 18
3 u = 39
1 u = 39 ÷ 3 = 13
Number of puffs that Aunt Raeann made
= 10 u + 45
= 10 x 13 + 45
= 130 + 45
= 175
Answer(s): 175