\begin{tabular}{l} Calculate $$ x $$ for each ratio \ $$ \qquad 21=x: 7 $$ \ \hline (B) $$ 15: 25=32 $$\end{tabular}

Question

UpStudy AI · Accepted Answer

Sure, let's solve each ratio step by step.

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### **1. Solve for $$ x $$ in the ratio $$ 21 = \frac{x}{7} $$:**

The given ratio is:
$$
21 = \frac{x}{7}
$$

To find $$ x $$, multiply both sides of the equation by 7:
$$
x = 21 \times 7
$$
$$
x = 147
$$

**Answer:** $$ x = 147 $$

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### **2. Solve the ratio $$ \frac{15}{25} = \frac{32}{y} $$:**

Assuming the ratio is:
$$
\frac{15}{25} = \frac{32}{y}
$$

To find $$ y $$, cross-multiply:
$$
15y = 25 \times 32
$$
$$
15y = 800
$$

Now, divide both sides by 15:
$$
y = \frac{800}{15}
$$
$$
y = \frac{160}{3} \quad \text{or approximately} \quad 53.\overline{3}
$$

**Answer:** $$ y = \frac{160}{3} $$ or approximately $$ 53.33 $$

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If you have any more ratios or need further clarification, feel free to ask!
$$ x = 147 $$ and $$ y = \frac{160}{3} $$ or approximately $$ 53.33 $$.

Calculate for each ratio

(B)