Auntie Cathy baked 51 more cheese puffs than strawberry puffs. After she gave
23 of the cheese puffs and 0.8 of the strawberry puffs to Cindy, she was left with 31 fewer strawberry puffs than cheese puffs. How many puffs did she bake?
|
Cheese puffs |
Strawberry puffs |
Comparing cheese puffs and strawberry puffs at first |
51 more |
|
Before
|
3x5 = 15 u |
+ 51 |
5x3 = 15 u |
Change
|
- 2x5 = - 10 u |
- 34 |
- 4x3 = - 12 u |
After
|
1x5 = 5 u |
+ 17 |
1x3 = 3 u |
Comparing cheese puffs and strawberry puffs in the end |
31 more
|
|
23 x 51 = 34
51 - 34 = 17
0.8 =
810 =
45If Auntie Cathy baked another 31 strawberry puffs, there would be equal number of cheese puffs and strawberry puffs in the end.
5 u + 17 = 3 u + 31
5 u - 3 u = 31 - 17
2 u = 14
1 u = 14 ÷ 2 = 7
Total puffs that Auntie Cathy baked
= 15 u + 51 + 15 u
= 30 u + 51
= 30 x 7 + 51
= 210 + 51
= 261
Answer(s): 261