Auntie Cindy baked 51 less strawberry puffs than cranberry puffs. After she gave 0.8 of the strawberry puffs to Tiffany and
23 of the cranberry puffs, she was left with 33 more cranberry puffs than strawberry puffs. How many puffs did she bake?
|
Strawberry puffs |
Cranberry puffs |
Comparing strawberry puffs and cranberry puffs at first |
|
51 more |
Before
|
5x3 = 15 |
3x5 = 15 u |
+ 51 |
Change
|
- 4x3 = - 12 u |
- 2x5 = - 10 u |
- 34 |
After
|
1x3 = 3 u |
1x5 = 5 u |
+ 17 |
Comparing strawberry puffs and cranberry puffs in the end |
|
33 more
|
0.8 =
810 =
4523 x 51 = 34
51 - 34 = 17
If Auntie Cindy baked another 33 strawberry puffs, there would be equal number of cranberry puffs and strawberry puffs in the end.
5 u + 17 = 3 u + 33
5 u - 3 u = 33 - 17
2 u = 16
1 u = 16 ÷ 2 = 8
Total puffs that Auntie Cindy baked
= 15 u + 51 + 15 u
= 30 u + 51
= 30 x 8 + 51
= 240 + 51
= 291
Answer(s): 291