PSLEOpal made some sandwiches to sell.
34 of them were lotus paste sandwiches and the rest were egg sandwiches. After selling 350 egg sandwiches and
56 of the lotus paste sandwiches, she had
16 of the sandwiches left. How many sandwiches did Opal sell?
|
Lotus paste sandwiches |
Egg sandwiches |
Total |
Comparing lotus paste sandwiches and egg sandwiches at first |
3x2 |
1x2 |
4x2
|
Before |
6x1 |
|
|
Change |
- 5x1
|
- 350 |
|
After |
1x1
|
|
|
|
Lotus paste sandwiches |
Egg sandwiches |
Total |
Before |
6 u |
2 u |
8 u
|
Change |
- 5 u
|
- 350 |
|
After
|
1 u
|
2 u - 350
|
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 - 350
= 3 u - 350
3 u - 350 = 1
13 u
3 u - 1
13 u = 350
1
23 u = 350
1 u = 350 ÷ 1
23 = 210
Total number of sandwiches that Opal sold
= 5 u + 350
= 5 x 210 + 350
= 1050 + 350
= 1400
Answer(s): 1400