Question

Which of the following is the solution to 4/5 = 20/(x-5)?

Answer 1

Answer:

x=30

Step-by-step explanation:

$\frac{4}{5}=\frac{20}{x-5} \\\\4(x-5)=20*5\\\\4x-20=20(5)\\\\4x=20(5)+20(1)\\\\4x=20(5+1)\\\\4x=20(6)\\\\x=\frac{20(6)}{4} \\\\x=5*6\\\\x=30$

Answer 2

$\frac{4}{5} = \frac{20}{(x - 5)}$

By Cross-multiplication

$\implies4 \times (x - 5) = 20 \times 5$

$\implies4x - 20 = 100$

$\implies4x = 100 + 20$

$\implies4x = 120$

$\implies \: x = \cancel \frac{120}{4}$

$\implies \: x = 30$