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?

Question

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

Answer 1

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: $$\boxed{{\displaystyle 450}}$$