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Explanation

Number 4

We need to know the number of eggs that produce a chicken. For this, we can write and solve the following equation.

[tex]\begin{gathered} \frac{120\text{ eggs}}{20\text{ chickens}}=\frac{x}{1\text{ chicken}} \\ \text{ Multiply by 1 chicken from both sides} \\ \frac{120\text{ eggs}}{20\text{ chickens}}*1\text{ chicken}=\frac{x}{1\text{ chicken}}*1\text{ chicken} \\ \frac{120\text{ eggs * 1}}{20}=x \\ \frac{120}{20}\text{ eggs }=x \\ 6\text{ eggs }=x \end{gathered}[/tex]

As we can see, a chicken produces 6 eggs. Thus, the unit rate is 6 eggs/chicken.

Number 5

We need to find the amount of money for a single person. For this, we can write and solve the following equation.

[tex]\begin{gathered} \frac{\text{ \$}55}{20\text{ people}}=\frac{x}{1\text{ person}} \\ \text{ Multiply by 1 person from both sides} \\ \frac{\text{ \$}55}{20\text{ people}}*1\text{ person}=\frac{x}{10\text{ person}}*1\text{ person} \\ \frac{\text{ \$}55\text{ * 1}}{20}=x \\ \frac{\text{ \$}55}{20}=x \\ \text{ \$}2.75=x \end{gathered}[/tex]

As we can see, a person has $2.75. Thus, the unit rate is $2.75/person.

Number 6

We need to know the number of miles in 1 hour. For this, we can write and solve the following equation.

[tex]\begin{gathered} \frac{250\text{ mi}}{4\text{ hour}}=\frac{x}{1\text{ hour}} \\ \text{ Multiply by 1 hour from both sides} \\ \frac{250\text{ mi}}{4\text{ hour}}*1\text{ hour}=\frac{x}{1\text{ hour}}*1\text{ hour} \\ \frac{250\text{ mi * 1}}{4}=x \\ \frac{250}{4}\text{ mi }=x \\ 62.5\text{ mi }=x \end{gathered}[/tex]

As we can see, the number of miles in 1 hour is 62.5. Thus, the unit rate is 62.5mi/hour.

Answer

Number 4. 6 eggs/chicken

Number 5. $2.75/person

Number 6. 62.5mi/hour

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