Question

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?

Answer 1

r = 4 -2/3 a

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

Answer 2

24 = 4a + 6r
24 - 4a = 6r
4(6 - a) = 6r
(4/6)(6 - a) = r
(2/3)(6 - a) = r