Math Problem Statement

The Blitz-It juicer’s information states that the weight of juice produced from oranges is around 30% of the weight of the fruit.

If Pete wants to produce 150 g of juice, what weight of oranges should he use?

Solution

To calculate the weight of oranges Pete should use, we can set up the equation based on the fact that 30% of the weight of the oranges becomes juice. Let the weight of the oranges be xx grams. Since 30% of xx will give Pete the amount of juice he needs (150 g), we can write the equation:

0.30×x=1500.30 \times x = 150

To find xx, divide both sides by 0.30:

x=1500.30=500gramsx = \frac{150}{0.30} = 500 \, \text{grams}

So, Pete should use 500 grams of oranges to produce 150 grams of juice.

Would you like more details or have any further questions?

Here are 5 related questions:

  1. How much juice would Pete get from 1 kg of oranges?
  2. If Pete only has 400 g of oranges, how much juice can he expect to make?
  3. What percentage of the fruit is waste if only 30% becomes juice?
  4. If Pete needs 300 g of juice, how many kilograms of oranges are required?
  5. How would the amount of juice change if the juice yield was 35% instead of 30%?

Tip: For percentage-based calculations, multiplying the total quantity by the percentage in decimal form simplifies the process!

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Math Problem Analysis

Mathematical Concepts

Percentage
Basic Algebra
Proportions

Formulas

Weight of oranges (x) * 0.30 = Juice weight (150g)

Theorems

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Suitable Grade Level

Grades 6-8