Question

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?

Answer 1

The answer to this is b=5-3/2r.

Answer 2

Answer: A) $b=5-\frac{3}{2}r$

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

$r=\frac{20-4b}{6}$

simplifying by 2:

$r=\frac{10-2b}{3}$

isolating b:

4b=20-6r

$b=\frac{20-6r}{4}$

simplifying by2:

$b=\frac{10-3r}{2}$

dividing each term by 2:

$b=5-\frac{3}{2}r$