PSLEOlivia made some sandwiches to sell.
34 of them were lotus paste sandwiches and the rest were curry sandwiches. After selling 135 curry sandwiches and
56 of the lotus paste sandwiches, she had
16 of the sandwiches left. How many sandwiches did Olivia sell?
|
Lotus paste sandwiches |
Curry sandwiches |
Total |
Comparing lotus paste sandwiches and curry sandwiches at first |
3x2 |
1x2 |
4x2
|
Before |
6x1 |
|
|
Change |
- 5x1
|
- 135 |
|
After |
1x1
|
|
|
|
Lotus paste sandwiches |
Curry sandwiches |
Total |
Before |
6 u |
2 u |
8 u
|
Change |
- 5 u
|
- 135 |
|
After
|
1 u
|
2 u - 135
|
16 x 8 u = 113 u |
The number of lotus paste sandwiches at first is repeated. Make the number of lotus paste sandwiches at first the same. LCM of 3 and 6 is 6.
Number of sandwiches left
= 1 u + 2 u - 135
= 3 u - 135
3 u - 135 = 1
13 u
3 u - 1
13 u = 135
1
23 u = 135
1 u = 135 ÷ 1
23 = 81
Total number of sandwiches that Olivia sold
= 5 u + 135
= 5 x 81 + 135
= 405 + 135
= 540
Answer(s): 540