Given:
Let x be the whole amount inherited.
1/2 * x - invested with Bernie Madoff
1/3 * x - lost due to identity theft
1/8 * x - lost in casino
40,000 - remainder
x - x/2 - x/3 - x/8 = 40,000
LCM:
2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24
3: 3, 6, 9, 12, 15, 18, 21, 24
8: 8, 16, 24,
x * 24/24 = 24x / 24
x/2 * 12/12 = 12x / 24
x/3 * 8/8 = 8x / 24
x/8 * 3/3 = 3x / 24
40,000 * 24/24 = 960,000 / 24
24x/24 - 12x/24 - 8x/24 - 3x/24 = 960,000/24
(24x - 12x - 8x - 3x)/24 = 960,000/24
x/24 = 960,000/24
24 * x/24 = 24 * 960,000/24
x = 960,000
x = 960,000 initial inheritance
x/2 = 960,000/2 = 480,000 invested with Bernie Madoff
x/3 = 960,000/3 = 320,000 lost due to identity theft
x/8 = 960,000/8 = 120,000 lost in the casino
40,000 - remaining amount.
960k - 480k - 320k - 120k = 40k
40k = 40k
Answer: 40 divided by 6 is equal to 6 with a remainder of 4: 40 / 6 = 6 R.
Step-by-step explanation:Start by setting it up with the divisor 6 on the left side and the dividend 40 on the right side like this:
6 ⟌ 4 0
The divisor (6) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:
0
6 ⟌ 4 0
Multiply the divisor by the result in the previous step (6 x 0 = 0) and write that answer below the dividend.
0
6 ⟌ 4 0
0
Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.
0
6 ⟌ 4 0
- 0
4
Move down the 2nd digit of the dividend (0) like this:
0
6 ⟌ 4 0
- 0
4 0
The divisor (6) goes into the bottom number (40), 6 time(s). Therefore, put 6 on top:
0 6
6 ⟌ 4 0
- 0
4 0
Multiply the divisor by the result in the previous step (6 x 6 = 36) and write that answer at the bottom:
0 6
6 ⟌ 4 0
- 0
4 0
3 6
Subtract the result in the previous step from the number written above it. (40 - 36 = 4) and write the answer at the bottom.
0 6
6 ⟌ 4 0
- 0
4 0
- 3 6
4
You are done, because there are no more digits to move down from the dividend. The answer is the top number and the remainder is the bottom number. Therefore, the answer to 40 divided by 6 calculated using Long Division is: 6
4 Remainder
0/11, The slope of the line would be undefined.
