PSLERachel made some puffs to sell.
34 of them were beef puffs and the rest were mushroom puffs. After selling 320 mushroom puffs and
56 of the beef puffs, she had
16 of the puffs left. How many puffs did Rachel sell?
|
Beef puffs |
Mushroom puffs |
Total |
Comparing beef puffs and mushroom puffs at first |
3x2 |
1x2 |
4x2
|
Before |
6x1 |
|
|
Change |
- 5x1
|
- 320 |
|
After |
1x1
|
|
|
|
Beef puffs |
Mushroom puffs |
Total |
Before |
6 u |
2 u |
8 u
|
Change |
- 5 u
|
- 320 |
|
After
|
1 u
|
2 u - 320
|
16 x 8 u = 113 u |
The number of beef puffs at first is repeated. Make the number of beef puffs at first the same. LCM of 3 and 6 is 6.
Number of puffs left
= 1 u + 2 u - 320
= 3 u - 320
3 u - 320 = 1
13 u
3 u - 1
13 u = 320
1
23 u = 320
1 u = 320 ÷ 1
23 = 192
Total number of puffs that Rachel sold
= 5 u + 320
= 5 x 192 + 320
= 960 + 320
= 1280
Answer(s): 1280