PSLEMarion made some sandwiches to sell.
34 of them were mushroom sandwiches and the rest were egg sandwiches. After selling 252 egg sandwiches and
56 of the mushroom sandwiches, she had
15 of the sandwiches left. How many sandwiches did Marion sell?
|
Mushroom sandwiches |
Egg sandwiches |
Total |
Comparing mushroom sandwiches and egg sandwiches at first |
3x2 |
1x2 |
4x2
|
Before |
6x1 |
|
|
Change |
- 5x1
|
- 252 |
|
After |
1x1
|
|
|
|
Mushroom sandwiches |
Egg sandwiches |
Total |
Before |
6 u |
2 u |
8 u
|
Change |
- 5 u
|
- 252 |
|
After
|
1 u
|
2 u - 252
|
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 - 252
= 3 u - 252
3 u - 252 = 1
35 u
3 u - 1
35 u = 252
1
25 u = 252
1 u = 252 ÷ 1
25 = 180
Total number of sandwiches that Marion sold
= 5 u + 252
= 5 x 180 + 252
= 900 + 252
= 1152
Answer(s): 1152