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In a truck of red and green peppers, the ratio of red peppers to green peppers is \( 3: 4 \), If the truck contains 120 green peppers, now many red peppers are there?

Ask by Lindsey Wagner. in South Africa
Feb 04,2025

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Answer

There are 90 red peppers in the truck.

Solution

To determine the number of red peppers in the truck, we can use the given ratio of red to green peppers, which is \( 3:4 \). 1. **Understand the Ratio:** - The ratio \( 3:4 \) means that for every 3 red peppers, there are 4 green peppers. 2. **Set Up the Proportion:** - Let \( r \) represent the number of red peppers. - Given that there are 120 green peppers, we can set up the proportion: \[ \frac{r}{120} = \frac{3}{4} \] 3. **Solve for \( r \):** \[ r = \frac{3}{4} \times 120 = 90 \] **Therefore, there are **90 red peppers** in the truck.**

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Bonus Knowledge

In the ratio of red peppers to green peppers, \(3:4\) indicates that for every 3 red peppers, there are 4 green peppers. Since the truck contains 120 green peppers, we can set up a proportion based on the ratio. To find out how many red peppers correspond to 120 green peppers, we can find the equivalent number of red peppers using the formula: \[ \text{Red Peppers} = \frac{3}{4} \times 120 = 90. \] So, there are 90 red peppers in the truck. The total number of peppers in this ratio is always a fun way to engage with basic math! Ratios simplify our understanding and can be seen in anything from cooking recipes to mixing colors for art projects; it’s like a secret math recipe for balance in life!

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