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-(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=(20-4b)/(6)`

simplifying by 2:

`r=(10-2b)/(3)`

isolating b:

4b=20-6r

`b=(20-6r)/(4)`

simplifying by2:

`b=(10-3r)/(2)`

dividing each term by 2:

`b=5-(3)/(2)r`