PSLEDiana made some sandwiches to sell.
34 of them were sardine sandwiches and the rest were beef sandwiches. After selling 330 beef sandwiches and
56 of the sardine sandwiches, she had
16 of the sandwiches left. How many sandwiches did Diana sell?
|
Sardine sandwiches |
Beef sandwiches |
Total |
Comparing sardine sandwiches and beef sandwiches at first |
3x2 |
1x2 |
4x2
|
Before |
6x1 |
|
|
Change |
- 5x1
|
- 330 |
|
After |
1x1
|
|
|
|
Sardine sandwiches |
Beef sandwiches |
Total |
Before |
6 u |
2 u |
8 u
|
Change |
- 5 u
|
- 330 |
|
After
|
1 u
|
2 u - 330
|
16 x 8 u = 113 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 - 330
= 3 u - 330
3 u - 330 = 1
13 u
3 u - 1
13 u = 330
1
23 u = 330
1 u = 330 ÷ 1
23 = 198
Total number of sandwiches that Diana sold
= 5 u + 330
= 5 x 198 + 330
= 990 + 330
= 1320
Answer(s): 1320