PSLEIvory made some sandwiches to sell.
34 of them were egg sandwiches and the rest were chocolate sandwiches. After selling 235 chocolate sandwiches and
56 of the egg sandwiches, she had
16 of the sandwiches left. How many sandwiches did Ivory sell?
|
Egg sandwiches |
Chocolate sandwiches |
Total |
Comparing egg sandwiches and chocolate sandwiches at first |
3x2 |
1x2 |
4x2
|
Before |
6x1 |
|
|
Change |
- 5x1
|
- 235 |
|
After |
1x1
|
|
|
|
Egg sandwiches |
Chocolate sandwiches |
Total |
Before |
6 u |
2 u |
8 u
|
Change |
- 5 u
|
- 235 |
|
After
|
1 u
|
2 u - 235
|
16 x 8 u = 113 u |
The number of egg sandwiches at first is repeated. Make the number of egg sandwiches at first the same. LCM of 3 and 6 is 6.
Number of sandwiches left
= 1 u + 2 u - 235
= 3 u - 235
3 u - 235 = 1
13 u
3 u - 1
13 u = 235
1
23 u = 235
1 u = 235 ÷ 1
23 = 141
Total number of sandwiches that Ivory sold
= 5 u + 235
= 5 x 141 + 235
= 705 + 235
= 940
Answer(s): 940