PSLEXylia made some sandwiches to sell.
34 of them were kaya sandwiches and the rest were curry sandwiches. After selling 205 curry sandwiches and
56 of the kaya sandwiches, she had
16 of the sandwiches left. How many sandwiches did Xylia sell?
|
Kaya sandwiches |
Curry sandwiches |
Total |
Comparing kaya sandwiches and curry sandwiches at first |
3x2 |
1x2 |
4x2
|
Before |
6x1 |
|
|
Change |
- 5x1
|
- 205 |
|
After |
1x1
|
|
|
|
Kaya sandwiches |
Curry sandwiches |
Total |
Before |
6 u |
2 u |
8 u
|
Change |
- 5 u
|
- 205 |
|
After
|
1 u
|
2 u - 205
|
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 - 205
= 3 u - 205
3 u - 205 = 1
13 u
3 u - 1
13 u = 205
1
23 u = 205
1 u = 205 ÷ 1
23 = 123
Total number of sandwiches that Xylia sold
= 5 u + 205
= 5 x 123 + 205
= 615 + 205
= 820
Answer(s): 820