Auntie Xuan baked 69 more cherry puffs than vanilla puffs. After she gave
13 of the cherry puffs and 0.8 of the vanilla puffs to Jen, she was left with 109 fewer vanilla puffs than cherry puffs. How many puffs did she bake?
|
Cherry puffs |
Vanilla puffs |
Comparing cherry puffs and vanilla puffs at first |
69 more |
|
Before
|
3x5 = 15 u |
+ 69 |
5x3 = 15 u |
Change
|
- 1x5 = - 5 u |
- 23 |
- 4x3 = - 12 u |
After
|
2x5 = 10 u |
+ 46 |
1x3 = 3 u |
Comparing cherry puffs and vanilla puffs in the end |
109 more
|
|
13 x 69 = 23
69 - 23 = 46
0.8 =
810 =
45If Auntie Xuan baked another 109 vanilla puffs, there would be equal number of cherry puffs and vanilla puffs in the end.
10 u + 46 = 3 u + 109
10 u - 3 u = 109 - 46
7 u = 63
1 u = 63 ÷ 7 = 9
Total puffs that Auntie Xuan baked
= 15 u + 69 + 15 u
= 30 u + 69
= 30 x 9 + 69
= 270 + 69
= 339
Answer(s): 339