Question 4(Multiple Choice Worth 2 points) (Ratios MC) Zachariah and Khai collect stamps. Zachariah has 7 American stamps out of 12 stamps. Khai has 15 American stamps out of 24 stamps. Which statement is correct? Zachariah has a higher ratio of American stamps than Khai because $$ \frac{7}{12}\frac{15}{24} $$. Khai has a higher ratio of American stamps than Zachariah because $$ \frac{7}{12}

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Question 4(Multiple Choice Worth 2 points) (Ratios MC) Zachariah and Khai collect stamps. Zachariah has 7 American stamps out of 12 stamps. Khai has 15 American stamps out of 24 stamps. Which statement is correct? Zachariah has a higher ratio of American stamps than Khai because $$ \frac{7}{12}>\frac{15}{24} $$. Khai has a higher ratio of American stamps than Zachariah because $$ \frac{7}{12}<\frac{15}{24} $$. Zachariah has a higher ratio of American stamps than Khai because $$ \frac{7}{12}<\frac{15}{24} $$. Zachariah and Khai have the same ratio of American stamps.

UpStudy AI · Accepted Answer

To determine who has a higher ratio of American stamps, let's compare Zachariah's and Khai's ratios:

- **Zachariah:** $$ \frac{7}{12} $$
- **Khai:** $$ \frac{15}{24} $$

First, simplify Khai's ratio:
$$ \frac{15}{24} = \frac{5}{8} $$

Next, find a common denominator to compare the two fractions:
$$ \frac{7}{12} = \frac{14}{24} $$
$$ \frac{5}{8} = \frac{15}{24} $$

Now, compare the two:
$$ \frac{14}{24} < \frac{15}{24} $$

This shows that **Khai has a higher ratio of American stamps** than Zachariah.

**Correct Answer:**
Khai has a higher ratio of American stamps than Zachariah because $$ \frac{7}{12}<\frac{15}{24} $$.
Khai has a higher ratio of American stamps than Zachariah because $$ \frac{7}{12} < \frac{15}{24} $$.

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