PSLEJaslyn made some sandwiches to sell.
34 of them were lotus paste sandwiches and the rest were chocolate sandwiches. After selling 400 chocolate sandwiches and
56 of the lotus paste sandwiches, she had
16 of the sandwiches left. How many sandwiches did Jaslyn sell?
|
Lotus paste sandwiches |
Chocolate sandwiches |
Total |
Comparing lotus paste sandwiches and chocolate sandwiches at first |
3x2 |
1x2 |
4x2
|
Before |
6x1 |
|
|
Change |
- 5x1
|
- 400 |
|
After |
1x1
|
|
|
|
Lotus paste sandwiches |
Chocolate sandwiches |
Total |
Before |
6 u |
2 u |
8 u
|
Change |
- 5 u
|
- 400 |
|
After
|
1 u
|
2 u - 400
|
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 - 400
= 3 u - 400
3 u - 400 = 1
13 u
3 u - 1
13 u = 400
1
23 u = 400
1 u = 400 ÷ 1
23 = 240
Total number of sandwiches that Jaslyn sold
= 5 u + 400
= 5 x 240 + 400
= 1200 + 400
= 1600
Answer(s): 1600