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 he bag of trail mix?

1 answer

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

Given that there are 600 almonds in the bag, we can set up a proportion to determine the number of raisins.

Let \( x \) be the number of raisins. The relationship can be expressed as follows:

\[ \frac{600}{x} = \frac{4}{3} \]

To solve for \( x \), we can cross-multiply:

\[ 600 \times 3 = 4 \times x \]

This simplifies to:

\[ 1800 = 4x \]

Now, divide both sides by 4:

\[ x = \frac{1800}{4} = 450 \]

Therefore, there are 450 raisins in the bag of trail mix.