Casey asks a random sample of students at his high school about their natural hair and eye colors. The results of his

survey are shown in the relative frequency table.

survey are shown in the relative frequency table.

In the sample, there are 4 more students with brown hair and blue eyes than blonde hair and blue eyes.

How many total students have black hair?

How many total students have black hair?

Find the total number of students, first.

0.125x = number of students with brown hair and blue eyes

0.075x = number of students with blonde hair and blue eyes

0.125x = 0.075x + 4 {set brown hair / blue eye students equal to blonde hair / blue eye plus 4}

0.05x = 4 {subtracted 0.075x from each side}

x = 80 {divided each side by 0.05}

There are 80 total students.

0.25 = represents total students with black hair

0.25(80) = students with black hair

= 20 {multiplied}

**x = total number of students**0.125x = number of students with brown hair and blue eyes

0.075x = number of students with blonde hair and blue eyes

**"In the sample, there are 4 more students with brown hair and blue eyes, than blonde hair and blue eyes."**0.125x = 0.075x + 4 {set brown hair / blue eye students equal to blonde hair / blue eye plus 4}

0.05x = 4 {subtracted 0.075x from each side}

x = 80 {divided each side by 0.05}

There are 80 total students.

0.25 = represents total students with black hair

0.25(80) = students with black hair

= 20 {multiplied}

**20**students have black hair**Ask Algebra House**