The ratio of the number of almonds to the number of raisins in a bag of trail mix is 4:3 there are 600 almonds in the bag. How many raisins are in the bag of trail mix?

A. 300
B. 150
C. 800
D. 450

1 answer

The ratio of almonds to raisins is given as 4:3. This means that for every 4 almonds, there are 3 raisins.

If there are 600 almonds in the bag, we can set up a proportion to find the number of raisins. Let \( r \) be the number of raisins.

Using the ratio: \[ \frac{4}{3} = \frac{600}{r} \]

Now we can cross-multiply to solve for \( r \): \[ 4r = 3 \times 600 \]

Calculating the right side: \[ 3 \times 600 = 1800 \]

So we have: \[ 4r = 1800 \]

Now, divide both sides by 4: \[ r = \frac{1800}{4} = 450 \]

Thus, the number of raisins in the bag of trail mix is: \[ \boxed{450} \]