Question

Mrs. Jeffers has 12 girls out of 16 on the student council the Earth Day committed has four girls out of eight students are the ratios equivalent explain your reasoning

Answer 1

The ratios are not equivalent

Solution:

Mrs. Jeffers has 12 girls out of 16 on the student council

Ratio is given as:

Girls : students = 12 : 16

Therefore,

`\frac{12 \text{ girls }}{16 \text{ students }}`

The Earth Day committed has four girls out of eight students

Ratio is given as:

Girls : students = 4 : 8

Therefore,

`\frac{4 \text{ girls }}{8 \text{ students }}`

The ratios are not equivalent. Because,

`\frac{12 \text{ girls }}{16 \text{ students }} \\eq \frac{4 \text{ girls }}{8 \text{ students }}`

Therefore, the ratios are not equivalent

Equivalent ratios or equivalent fractions are two ratios that express the same relationship between numbers

If two ratios have the same value, then they are equivalent

But here the ratios are not equivalent, since they have different value