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Mackenzie spent $20 at the local farmer’s market. She bought b pounds of blueberries that cost $4 per pound, and r pounds of raspberries that cost $6 per pound. She wrote the equation 4b+6r=20 to represent the cost of all the fruit. Which is equivalent to Mackenzie’s equation?

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kkaasshh
The answer to this is b=5-3/2r.
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Answer: A) [tex]b=5-\frac{3}{2}r[/tex]

Step-by-step explanation:  To solve this problem we need to express the given equation in different ways (for example, isolating b or r) and compare it with the given options, to see which one of them is correct:

given equation:

4b+6r=20

isolating r:

6r=20-4b

[tex]r=\frac{20-4b}{6}[/tex]

simplifying by 2:

[tex]r=\frac{10-2b}{3}[/tex]

isolating b:

4b=20-6r

[tex]b=\frac{20-6r}{4}[/tex]

simplifying by2:

[tex]b=\frac{10-3r}{2}[/tex]

dividing each term by 2:

[tex]b=5-\frac{3}{2}r[/tex]

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