Ji Sunn spent $24 at the local farmer's market. She bought apples that cost $4 per pound and raspberries that cost $6 per pound. Which equation can be used to represent the amount of raspberries, r, in terms of apples, a? r = 4 minus two-thirds a r = 4 + two-thirds a r = 6 minus three-halves a r = 6 + three-halves a

r = 4 - 2/3 a

Step-by-step explanation:

She spent in total 24 dollars. So, you can set the equation equal to 24.

? = 24

It costs $4 per pound for apples and $6 per pound for raspberries. You could represent apples as 4a and raspberries as 6r. Put this into the equation.

4a + 6r = 24

Now set the equation equal to r. You have to get r alone on one side.

4a + 6r = 24

(4a + 6r) - 4a = (24) - 4a

6r = 24 - 4a

6r = (24 - 4a) / 6

r = 4 - 4/6 a

r = 4 - 2/3 a

r = 4 - 2a/3

In the words of the problem, its r = 4 minus two-thirds a

Step-by-step explanation:

You can set up a general equation for this problem, and then solve for r to get your answer. In this case its:

4a + 6r = 24

Now move 4a to the other side by subtracting 4a from both sides:

6r = 24-4a

Finally, divide both sides by 6 to get:

r = 4 - 2a/3

In the words of the problem, its r = 4 minus two-thirds a