The question states: “The ratio of the number of almonds to the number of raisins in a bag of trail mix is 4:3. There are 800 almonds in the bag. How many raisins are there in the bag?”

Question

The multiple-choice answers provided are: A) 600 B) 800 C) 450

Answer 1

To solve the problem, we begin with the given ratio of almonds to raisins, which is 4:3. This means for every 4 almonds, there are 3 raisins.

We are told there are 800 almonds in the bag. We need to find out how many raisins correspond to this amount.

Let the number of raisins be \( r \). According to the ratio: \[ \frac{\text{almonds}}{\text{raisins}} = \frac{4}{3} \]

We know there are 800 almonds, so we can set up the equation: \[ \frac{800}{r} = \frac{4}{3} \]

Next, we cross-multiply to solve for \( r \): \[ 800 \times 3 = 4 \times r \] \[ 2400 = 4r \]

Now, divide both sides by 4: \[ r = \frac{2400}{4} = 600 \]

So, the number of raisins in the bag is \( r = 600 \).

Therefore, the correct answer is A) 600.