Question

ratio of almonds to raisins is 4:3
600 almonds are in the bag, how many raisins are in the bag
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Answers

GPT-4o mini
To find out how many raisins are in the bag, we can use the ratio of almonds to raisins, which is given as \( 4:3 \).

1. **Set up the ratio**:
The ratio \( 4:3 \) means that for every 4 parts of almonds, there are 3 parts of raisins.

2. **Let the number of raisins be \( r \)**:
Since the ratio of almonds to raisins is \( 4:3 \), we can express the number of almonds in terms of the parts of the ratio. If we set:
- Almonds = \( 4x \)
- Raisins = \( 3x \)

where \( x \) is a common multiplier.

3. **Substitute the known value**:
We know that the number of almonds in the bag is 600, so we can set up the equation:
\[
4x = 600
\]

4. **Solve for \( x \)**:
\[
x = \frac{600}{4} = 150
\]

5. **Calculate the number of raisins**:
Now that we have \( x \), we can find the number of raisins using:
\[
r = 3x = 3 \times 150 = 450
\]

Therefore, the number of raisins in the bag is \( \boxed{450} \).