PSLEKathy made some sandwiches to sell.
34 of them were kaya sandwiches and the rest were mushroom sandwiches. After selling 250 mushroom sandwiches and
56 of the kaya sandwiches, she had
16 of the sandwiches left. How many sandwiches did Kathy sell?
|
Kaya sandwiches |
Mushroom sandwiches |
Total |
Comparing kaya sandwiches and mushroom sandwiches at first |
3x2 |
1x2 |
4x2
|
Before |
6x1 |
|
|
Change |
- 5x1
|
- 250 |
|
After |
1x1
|
|
|
|
Kaya sandwiches |
Mushroom sandwiches |
Total |
Before |
6 u |
2 u |
8 u
|
Change |
- 5 u
|
- 250 |
|
After
|
1 u
|
2 u - 250
|
16 x 8 u = 113 u |
The number of kaya sandwiches at first is repeated. Make the number of kaya sandwiches at first the same. LCM of 3 and 6 is 6.
Number of sandwiches left
= 1 u + 2 u - 250
= 3 u - 250
3 u - 250 = 1
13 u
3 u - 1
13 u = 250
1
23 u = 250
1 u = 250 ÷ 1
23 = 150
Total number of sandwiches that Kathy sold
= 5 u + 250
= 5 x 150 + 250
= 750 + 250
= 1000
Answer(s): 1000