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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?

Respuesta :

Answer:

Part 1) [tex]4\frac{\$}{pint}[/tex]

Part 2) [tex]\frac{1}{4}\ pint[/tex]

Part 3)  [tex]5\ pints[/tex]

Part 4) [tex]\$32[/tex]

Step-by-step explanation:

Part 1) What is the cost per pint?

Divide [tex]\$12[/tex] by [tex]3\ pints[/tex]

so

[tex]\frac{12}{3}\frac{\$}{pints} =4\frac{\$}{pint}[/tex]

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

By proportion

[tex]\frac{4}{1}\frac{\$}{pint} =\frac{1}{x}\frac{\$}{pints}\\ \\x=\frac{1}{4}\ pint[/tex]

Part 3) At this rate, how many pints can you afford for [tex]\$20[/tex]?

By proportion

[tex]\frac{4}{1}\frac{\$}{pint} =\frac{20}{x}\frac{\$}{pints}\\ \\x=\frac{20}{4}=5\ pints[/tex]

Part 4) At this rate, how much will [tex]8[/tex] pints of raspberries cost

By proportion

[tex]\frac{4}{1}\frac{\$}{pint} =\frac{x}{8}\frac{\$}{pints}\\ \\x=8*4\\ \\x=\$32[/tex]

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