PSLETammy made some sandwiches to sell.
34 of them were egg sandwiches and the rest were lotus paste sandwiches. After selling 365 lotus paste sandwiches and
56 of the egg sandwiches, she had
16 of the sandwiches left. How many sandwiches did Tammy sell?
|
Egg sandwiches |
Lotus paste sandwiches |
Total |
Comparing egg sandwiches and lotus paste sandwiches at first |
3x2 |
1x2 |
4x2
|
Before |
6x1 |
|
|
Change |
- 5x1
|
- 365 |
|
After |
1x1
|
|
|
|
Egg sandwiches |
Lotus paste sandwiches |
Total |
Before |
6 u |
2 u |
8 u
|
Change |
- 5 u
|
- 365 |
|
After
|
1 u
|
2 u - 365
|
16 x 8 u = 113 u |
The number of egg sandwiches at first is repeated. Make the number of egg sandwiches at first the same. LCM of 3 and 6 is 6.
Number of sandwiches left
= 1 u + 2 u - 365
= 3 u - 365
3 u - 365 = 1
13 u
3 u - 1
13 u = 365
1
23 u = 365
1 u = 365 ÷ 1
23 = 219
Total number of sandwiches that Tammy sold
= 5 u + 365
= 5 x 219 + 365
= 1095 + 365
= 1460
Answer(s): 1460