PSLERisa made some sandwiches to sell.
34 of them were sardine sandwiches and the rest were kaya sandwiches. After selling 378 kaya sandwiches and
56 of the sardine sandwiches, she had
15 of the sandwiches left. How many sandwiches did Risa sell?
|
Sardine sandwiches |
Kaya sandwiches |
Total |
Comparing sardine sandwiches and kaya sandwiches at first |
3x2 |
1x2 |
4x2
|
Before |
6x1 |
|
|
Change |
- 5x1
|
- 378 |
|
After |
1x1
|
|
|
|
Sardine sandwiches |
Kaya sandwiches |
Total |
Before |
6 u |
2 u |
8 u
|
Change |
- 5 u
|
- 378 |
|
After
|
1 u
|
2 u - 378
|
15 x 8 u = 135 u |
The number of sardine sandwiches at first is repeated. Make the number of sardine sandwiches at first the same. LCM of 3 and 6 is 6.
Number of sandwiches left
= 1 u + 2 u - 378
= 3 u - 378
3 u - 378 = 1
35 u
3 u - 1
35 u = 378
1
25 u = 378
1 u = 378 ÷ 1
25 = 270
Total number of sandwiches that Risa sold
= 5 u + 378
= 5 x 270 + 378
= 1350 + 378
= 1728
Answer(s): 1728