PSLEIrene made some sandwiches to sell.
34 of them were mushroom sandwiches and the rest were lotus paste sandwiches. After selling 385 lotus paste sandwiches and
56 of the mushroom sandwiches, she had
15 of the sandwiches left. How many sandwiches did Irene sell?
|
Mushroom sandwiches |
Lotus paste sandwiches |
Total |
Comparing mushroom sandwiches and lotus paste sandwiches at first |
3x2 |
1x2 |
4x2
|
Before |
6x1 |
|
|
Change |
- 5x1
|
- 385 |
|
After |
1x1
|
|
|
|
Mushroom sandwiches |
Lotus paste sandwiches |
Total |
Before |
6 u |
2 u |
8 u
|
Change |
- 5 u
|
- 385 |
|
After
|
1 u
|
2 u - 385
|
15 x 8 u = 135 u |
The number of mushroom sandwiches at first is repeated. Make the number of mushroom 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
35 u
3 u - 1
35 u = 385
1
25 u = 385
1 u = 385 ÷ 1
25 = 275
Total number of sandwiches that Irene sold
= 5 u + 385
= 5 x 275 + 385
= 1375 + 385
= 1760
Answer(s): 1760