Step-by-step explanation:
According to the question:
(x+4) : = 3:4
or, (x+4) / (3x+1) = 3 / 4
or, (x+4) * 4 = (3x+1) * 3
or, 4x + 16 = 9x + 3
or, 16 - 3 = 9x - 4x
or, 13 = 5x
or, 13/5 = x
•
• • x = 2.6
Answer:
x = [tex]\frac{13}{5}[/tex]
Step-by-step explanation:
Express the ratios as equivalent fractions, that is
[tex]\frac{x+4}{3x+1}[/tex] = [tex]\frac{3}{4}[/tex] ( cross- multiply )
3(3x + 1) = 4(x + 4) ← distribute parenthesis on both sides
9x + 3 = 4x + 16 ( subtract 4x from both sides )
5x + 3 = 16 ( subtract 3 from both sides )
5x = 13 ( divide both sides by 5 )
x = [tex]\frac{13}{5}[/tex]
