PSLEAnna made some sandwiches to sell.
34 of them were mushroom sandwiches and the rest were curry sandwiches. After selling 275 curry sandwiches and
56 of the mushroom sandwiches, she had
16 of the sandwiches left. How many sandwiches did Anna sell?
|
Mushroom sandwiches |
Curry sandwiches |
Total |
Comparing mushroom sandwiches and curry sandwiches at first |
3x2 |
1x2 |
4x2
|
Before |
6x1 |
|
|
Change |
- 5x1
|
- 275 |
|
After |
1x1
|
|
|
|
Mushroom sandwiches |
Curry sandwiches |
Total |
Before |
6 u |
2 u |
8 u
|
Change |
- 5 u
|
- 275 |
|
After
|
1 u
|
2 u - 275
|
16 x 8 u = 113 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 - 275
= 3 u - 275
3 u - 275 = 1
13 u
3 u - 1
13 u = 275
1
23 u = 275
1 u = 275 ÷ 1
23 = 165
Total number of sandwiches that Anna sold
= 5 u + 275
= 5 x 165 + 275
= 825 + 275
= 1100
Answer(s): 1100