Question

1. (11 + x) * (3/4) = 27

Explanation:

Step1: Isolate the term with x

To solve for \( x \) in the equation \( (11 + x)\frac{3}{4}=27 \), first, we can multiply both sides of the equation by the reciprocal of \( \frac{3}{4} \), which is \( \frac{4}{3} \).

$$ (11 + x)\frac{3}{4}\times\frac{4}{3}=27\times\frac{4}{3} $$

Simplifying both sides, the left - hand side: \( \frac{3}{4}\times\frac{4}{3} = 1 \), so we get \( 11+x \). The right - hand side: \( 27\times\frac{4}{3}=\frac{27\times4}{3}=9\times4 = 36 \). So the equation becomes \( 11 + x=36 \).

Step2: Solve for x

Subtract 11 from both sides of the equation \( 11 + x=36 \).

$$ 11+x - 11=36 - 11 $$

Simplifying, we have \( x = 25 \).

Answer:

\( x = 25 \)