Question

Problem 2 A farm lets you pick 3 pints of raspberries for $12.00. What is the cost per pint? How many pints do you get per dollar? At this rate, how many pints can you afford for $20.00? At this rate, how much will 8 pints of raspberries cost?

Answer 1

Part 1)
`4(\$)/(pint)`

Part 2)
`(1)/(4)\ pint`

Part 3)
`5\ pints`

Part 4)
`\$32`

Explanation:

Part 1) What is the cost per pint?

Divide
`\$12` by
`3\ pints`

so

`(12)/(3)(\$)/(pints) =4(\$)/(pint)`

Part 2) How many pints do you get per dollar?

By proportion

`(4)/(1)(\$)/(pint) =(1)/(x)(\$)/(pints)\\ \\x=(1)/(4)\ pint`

Part 3) At this rate, how many pints can you afford for
`\$20`?

By proportion

`(4)/(1)(\$)/(pint) =(20)/(x)(\$)/(pints)\\ \\x=(20)/(4)=5\ pints`

Part 4) At this rate, how much will
`8` pints of raspberries cost

By proportion

`(4)/(1)(\$)/(pint) =(x)/(8)(\$)/(pints)\\ \\x=8*4\\ \\x=\$32`