Question

1. at the movies, you ordered 5 bags of popcorn and paid $37.50. what is the cost of one bag of popcorn?
2. you spent $2 on candy for every $1 you spent on drinks at the circus. if you spent a total of $30 at the circus, how much did you spend on candy?
3. there are 4 box turtles and 6 snapping turtles at the zoo. express the relationship between snapping turtles and box turtles as a ratio in simplest terms.
4. during the winter, strawberries cost $3.50 per pound. in the summer, they only cost $1.75 per pound. write a ratio comparing the winter cost to summer cost of strawberries.

show work here

Explanation:

Question 1

Step1: Define the variable

Let \( x \) be the cost of one bag of popcorn.

Step2: Set up the equation

Since 5 bags cost \$37.50, we have the equation \( 5x = 37.50 \).

Step3: Solve for \( x \)

Divide both sides of the equation by 5: \( x=\frac{37.50}{5} = 7.50 \).

Question 2

Step1: Determine the ratio of candy to drinks

The ratio of candy to drinks is \( 2:1 \), so the total number of parts is \( 2 + 1=3 \) parts.

Step2: Find the value of one part

The total spent is \$30, so one part is \( \frac{30}{3}=10 \).

Step3: Calculate the amount spent on candy

Since candy is 2 parts, the amount spent on candy is \( 2\times10 = 20 \) dollars.

Question 3

Step1: Identify the numbers of turtles

There are 6 snapping turtles and 4 box turtles. The ratio of snapping turtles to box turtles is \( 6:4 \).

Step2: Simplify the ratio

Divide both numbers by their greatest common divisor, which is 2. So \( \frac{6}{2}:\frac{4}{2}=3:2 \).

Question 4

Answer:

\$7.50