PSLECindy made some sandwiches to sell.
34 of them were lotus paste sandwiches and the rest were mushroom sandwiches. After selling 150 mushroom sandwiches and
56 of the lotus paste sandwiches, she had
16 of the sandwiches left. How many sandwiches did Cindy sell?
|
Lotus paste sandwiches |
Mushroom sandwiches |
Total |
Comparing lotus paste sandwiches and mushroom sandwiches at first |
3x2 |
1x2 |
4x2
|
Before |
6x1 |
|
|
Change |
- 5x1
|
- 150 |
|
After |
1x1
|
|
|
|
Lotus paste sandwiches |
Mushroom sandwiches |
Total |
Before |
6 u |
2 u |
8 u
|
Change |
- 5 u
|
- 150 |
|
After
|
1 u
|
2 u - 150
|
16 x 8 u = 113 u |
The number of lotus paste sandwiches at first is repeated. Make the number of lotus paste sandwiches at first the same. LCM of 3 and 6 is 6.
Number of sandwiches left
= 1 u + 2 u - 150
= 3 u - 150
3 u - 150 = 1
13 u
3 u - 1
13 u = 150
1
23 u = 150
1 u = 150 ÷ 1
23 = 90
Total number of sandwiches that Cindy sold
= 5 u + 150
= 5 x 90 + 150
= 450 + 150
= 600
Answer(s): 600