PSLEPamela made some muffins to sell.
34 of them were lotus paste muffins and the rest were mushroom muffins. After selling 145 mushroom muffins and
56 of the lotus paste muffins, she had
16 of the muffins left. How many muffins did Pamela sell?
|
Lotus paste muffins |
Mushroom muffins |
Total |
Comparing lotus paste muffins and mushroom muffins at first |
3x2 |
1x2 |
4x2
|
Before |
6x1 |
|
|
Change |
- 5x1
|
- 145 |
|
After |
1x1
|
|
|
|
Lotus paste muffins |
Mushroom muffins |
Total |
Before |
6 u |
2 u |
8 u
|
Change |
- 5 u
|
- 145 |
|
After
|
1 u
|
2 u - 145
|
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 - 145
= 3 u - 145
3 u - 145 = 1
13 u
3 u - 1
13 u = 145
1
23 u = 145
1 u = 145 ÷ 1
23 = 87
Total number of muffins that Pamela sold
= 5 u + 145
= 5 x 87 + 145
= 435 + 145
= 580
Answer(s): 580