Question

Science center tickets are $36.75 for 3 and zoo tickets are $51 for 4. If there is a group of 12 students, which place would be cheaper to visit? (Hint: Find and show each unit rate. Then answer the question.) 3 answers 0 / 20 Word Limit

Answer 1

Science Center Unit rate = $12.25

Zoo Unit rate = $12.75

Science center would be cheaper

Step-by-step explanation

The science center tickets cost $36.75 for 3 people.

Let us find how much each ticket costs (unit rate) by dividing $36.75 by 3.

That is:

`\begin{gathered} \text{Unit rate = }(36.75)/(3) \\ \text{Unit rate = \$12.25} \end{gathered}`

The zoo tickets cost $51 for 4 people.

Find the unit rate by dividing $51 by 4.

That is:

`\begin{gathered} \text{Unit rate = }(51)/(4) \\ \text{Unit rate = \$12.75} \end{gathered}`

Now, find how much it would cost 12 students to visit each place.

For the science center:

`\begin{gathered} Cost=12.25\cdot12 \\ \text{Cost = \$147} \end{gathered}`

For the zoo:

`\begin{gathered} \text{Cost = 12.75 }\cdot12 \\ \text{Cost}=\text{ \$153} \end{gathered}`

Therefore, the science center would be cheaper to visit.