PSLETammy made some sandwiches to sell.
34 of them were chocolate sandwiches and the rest were lotus paste sandwiches. After selling 385 lotus paste sandwiches and
56 of the chocolate sandwiches, she had
16 of the sandwiches left. How many sandwiches did Tammy sell?
|
Chocolate sandwiches |
Lotus paste sandwiches |
Total |
Comparing chocolate sandwiches and lotus paste sandwiches at first |
3x2 |
1x2 |
4x2
|
Before |
6x1 |
|
|
Change |
- 5x1
|
- 385 |
|
After |
1x1
|
|
|
|
Chocolate sandwiches |
Lotus paste sandwiches |
Total |
Before |
6 u |
2 u |
8 u
|
Change |
- 5 u
|
- 385 |
|
After
|
1 u
|
2 u - 385
|
16 x 8 u = 113 u |
The number of chocolate sandwiches at first is repeated. Make the number of chocolate sandwiches at first the same. LCM of 3 and 6 is 6.
Number of sandwiches left
= 1 u + 2 u - 385
= 3 u - 385
3 u - 385 = 1
13 u
3 u - 1
13 u = 385
1
23 u = 385
1 u = 385 ÷ 1
23 = 231
Total number of sandwiches that Tammy sold
= 5 u + 385
= 5 x 231 + 385
= 1155 + 385
= 1540
Answer(s): 1540