PSLEGabby made some sandwiches to sell.
34 of them were sardine sandwiches and the rest were chicken sandwiches. After selling 295 chicken sandwiches and
56 of the sardine sandwiches, she had
16 of the sandwiches left. How many sandwiches did Gabby sell?
|
Sardine sandwiches |
Chicken sandwiches |
Total |
Comparing sardine sandwiches and chicken sandwiches at first |
3x2 |
1x2 |
4x2
|
Before |
6x1 |
|
|
Change |
- 5x1
|
- 295 |
|
After |
1x1
|
|
|
|
Sardine sandwiches |
Chicken sandwiches |
Total |
Before |
6 u |
2 u |
8 u
|
Change |
- 5 u
|
- 295 |
|
After
|
1 u
|
2 u - 295
|
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 - 295
= 3 u - 295
3 u - 295 = 1
13 u
3 u - 1
13 u = 295
1
23 u = 295
1 u = 295 ÷ 1
23 = 177
Total number of sandwiches that Gabby sold
= 5 u + 295
= 5 x 177 + 295
= 885 + 295
= 1180
Answer(s): 1180