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If x/3 + x/4 + 15 = x, then x =
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11 Apr 2022, 07:44
11 Apr 2022, 07:44
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If \(\frac{x}{3} + \frac{x}{4} + 15 = x\), then x =
A. 18
B. 24
C. 36
D. 48
E. 60
A. 18
B. 24
C. 36
D. 48
E. 60
Re: If x/3 + x/4 + 15 = x, then x =
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11 Apr 2022, 07:56
11 Apr 2022, 07:56
1
\(\frac{x}{3} + \frac{x}{4} + 15 = x\)
\(\frac{7x}{12} = x - 15\)
\(7x = 12x - 180\)
\(5x = 180\)
\(x = 36\)
Answer C
\(\frac{7x}{12} = x - 15\)
\(7x = 12x - 180\)
\(5x = 180\)
\(x = 36\)
Answer C
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Re: If x/3 + x/4 + 15 = x, then x =
[#permalink]
11 Apr 2022, 09:51
11 Apr 2022, 09:51
Carcass wrote:
If \(\frac{x}{3} + \frac{x}{4} + 15 = x\), then x =
A. 18
B. 24
C. 36
D. 48
E. 60
A. 18
B. 24
C. 36
D. 48
E. 60
We can eliminate the fractions by multiplying both sides of the equation by 12 (the least common multiple of the denominators, 3 and 4).
When we do so we get: \(\frac{12x}{3} + \frac{12x}{4} + 180 = 12x\)
Simplify to get: \(4x + 3x + 180 = 12x\)
Simplify: \(7x + 180 = 12x\)
Subtract 7x from both sides: \(180 = 5x\)
Divide both sides by 5 to get: \(36 = x\)
Answer: C
