PSLEPenelope made some puffs to sell.
34 of them were kaya puffs and the rest were mushroom puffs. After selling 280 mushroom puffs and
56 of the kaya puffs, she had
16 of the puffs left. How many puffs did Penelope sell?
|
Kaya puffs |
Mushroom puffs |
Total |
Comparing kaya puffs and mushroom puffs at first |
3x2 |
1x2 |
4x2
|
Before |
6x1 |
|
|
Change |
- 5x1
|
- 280 |
|
After |
1x1
|
|
|
|
Kaya puffs |
Mushroom puffs |
Total |
Before |
6 u |
2 u |
8 u
|
Change |
- 5 u
|
- 280 |
|
After
|
1 u
|
2 u - 280
|
16 x 8 u = 113 u |
The number of kaya puffs at first is repeated. Make the number of kaya puffs at first the same. LCM of 3 and 6 is 6.
Number of puffs left
= 1 u + 2 u - 280
= 3 u - 280
3 u - 280 = 1
13 u
3 u - 1
13 u = 280
1
23 u = 280
1 u = 280 ÷ 1
23 = 168
Total number of puffs that Penelope sold
= 5 u + 280
= 5 x 168 + 280
= 840 + 280
= 1120
Answer(s): 1120