If $$ 3: 8 $$ is equivalent to $$ (2 x+13): 72 $$, then what is the value of $$ x ? $$

Question

UpStudy AI · Accepted Answer

We can solve the problem by setting up a proportion based on the given ratios:

$$
\frac{3}{8} = \frac{2x + 13}{72}
$$

**Step 1: Cross-Multiply**

Multiply the numerator of one ratio by the denominator of the other:

$$
3 \times 72 = 8 \times (2x + 13)
$$

$$
216 = 16x + 104
$$

**Step 2: Solve for $$ x $$**

Subtract 104 from both sides:

$$
216 - 104 = 16x
$$

$$
112 = 16x
$$

Divide both sides by 16:

$$
x = \frac{112}{16} = 7
$$

**Answer:** $$ x = 7 $$
$$ x = 7 $$

If \( 3: 8 \) is equivalent to \( (2 x+13): 72 \), then what is the value of \( x ? \)