PSLERoshel made some muffins to sell.
34 of them were lotus paste muffins and the rest were chocolate muffins. After selling 360 chocolate muffins and
56 of the lotus paste muffins, she had
16 of the muffins left. How many muffins did Roshel sell?
|
Lotus paste muffins |
Chocolate muffins |
Total |
Comparing lotus paste muffins and chocolate muffins at first |
3x2 |
1x2 |
4x2
|
Before |
6x1 |
|
|
Change |
- 5x1
|
- 360 |
|
After |
1x1
|
|
|
|
Lotus paste muffins |
Chocolate muffins |
Total |
Before |
6 u |
2 u |
8 u
|
Change |
- 5 u
|
- 360 |
|
After
|
1 u
|
2 u - 360
|
16 x 8 u = 113 u |
The number of lotus paste muffins at first is repeated. Make the number of lotus paste muffins at first the same. LCM of 3 and 6 is 6.
Number of muffins left
= 1 u + 2 u - 360
= 3 u - 360
3 u - 360 = 1
13 u
3 u - 1
13 u = 360
1
23 u = 360
1 u = 360 ÷ 1
23 = 216
Total number of muffins that Roshel sold
= 5 u + 360
= 5 x 216 + 360
= 1080 + 360
= 1440
Answer(s): 1440