The table shows that the ratio of boys to girls at Midtown Middle School is 3 to 4.

Question

A 2-column table with 4 rows. Column 1 is labeled Boys with entries 3, 12, 15, 75. Column 2 is labeled Girls with entries 4, question mark, question mark, question mark.

Which classes have an equivalent ratio of boys to girls? Check all that apply.

a math class with 12 boys and 16 girls
an English class with 14 boys and 14 girls
a science class with 15 boys and 20 girls
a Spanish class with 20 boys and 15 girls
a band class with 75 boys and 100 girls

Answer 1

To determine which classes have an equivalent ratio of boys to girls of 3 to 4, we can set up the ratio for each class and check if it simplifies to 3/4.

The ratio of boys to girls is expressed as:

\[ \text{Ratio} = \frac{\text{Boys}}{\text{Girls}} = \frac{3}{4} \]

We can check each class:

1. Math class with 12 boys and 16 girls: \[ \frac{12}{16} = \frac{3}{4} \quad \text{(Equivalent)} \]

2. English class with 14 boys and 14 girls: \[ \frac{14}{14} = 1 \quad \text{(Not equivalent)} \]

3. Science class with 15 boys and 20 girls: \[ \frac{15}{20} = \frac{3}{4} \quad \text{(Equivalent)} \]

4. Spanish class with 20 boys and 15 girls: \[ \frac{20}{15} = \frac{4}{3} \quad \text{(Not equivalent)} \]

5. Band class with 75 boys and 100 girls: \[ \frac{75}{100} = \frac{3}{4} \quad \text{(Equivalent)} \]

Classes with an equivalent ratio of boys to girls (3 to 4):

• Math class with 12 boys and 16 girls
• Science class with 15 boys and 20 girls
• Band class with 75 boys and 100 girls

So, the correct classes that have an equivalent ratio of boys to girls are the Math class, Science class, and Band class.