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?

To solve this, we can start by finding a general equation and then solving for r, or the amount of raspberries (in pounds). To find the general equation, we start with 24 as the amount of dollars. As we have the cost of apples as 4$ per pound, we must add 4 dollars for every pound and therefore multiply 4 by the amount of apples, or a. Similarly, we must multiply 6 by the amount of raspberries. So, as we know that 24 dollars equals the amount of some amount of apples and some amount of raspberries, we can write our original equation as 24=4*a+6*r. Next, using the additive property of equality, we can subtract 24 from both sides to get 0=4*a+6*r-24. This helps us isolate r, as we can then subtract 6r from both sides to get -6r=4*a-24. Similarly, as -6r/-6=r, we can divide both sides by -6 to get r=(-4/6)a-(-24/6)=(-4/6)a+4, making our answer a.
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