PSLEXuan made some puffs to sell.
34 of them were lotus paste puffs and the rest were kaya puffs. After selling 110 kaya puffs and
56 of the lotus paste puffs, she had
16 of the puffs left. How many puffs did Xuan sell?
|
Lotus paste puffs |
Kaya puffs |
Total |
Comparing lotus paste puffs and kaya puffs at first |
3x2 |
1x2 |
4x2
|
Before |
6x1 |
|
|
Change |
- 5x1
|
- 110 |
|
After |
1x1
|
|
|
|
Lotus paste puffs |
Kaya puffs |
Total |
Before |
6 u |
2 u |
8 u
|
Change |
- 5 u
|
- 110 |
|
After
|
1 u
|
2 u - 110
|
16 x 8 u = 113 u |
The number of lotus paste puffs at first is repeated. Make the number of lotus paste puffs at first the same. LCM of 3 and 6 is 6.
Number of puffs left
= 1 u + 2 u - 110
= 3 u - 110
3 u - 110 = 1
13 u
3 u - 1
13 u = 110
1
23 u = 110
1 u = 110 ÷ 1
23 = 66
Total number of puffs that Xuan sold
= 5 u + 110
= 5 x 66 + 110
= 330 + 110
= 440
Answer(s): 440