Math Problem Statement

How many grams of sugar are there in a 200 ml glass of apple juice, given the nutritional information for 250 ml?

Solution

To calculate how many grams of sugar are in a 200 ml glass of apple juice, given that 250 ml contains 25.5 g of sugar, you can use a simple proportion:

sugar in 250 ml=25.5g\text{sugar in 250 ml} = 25.5 \, \text{g}

We want to find the sugar content in 200 ml:

sugar in 200 ml200ml=25.5g250ml\frac{\text{sugar in 200 ml}}{200 \, \text{ml}} = \frac{25.5 \, \text{g}}{250 \, \text{ml}}

Now solve for the sugar content in 200 ml:

sugar in 200 ml=200×25.5250\text{sugar in 200 ml} = \frac{200 \times 25.5}{250}

Let me calculate this for you.The amount of sugar in a 200 ml glass of apple juice is 20.4 grams.

Do you have any questions or would you like more details?

Here are five related questions:

  1. How many grams of sugar would be in a 100 ml glass of apple juice?
  2. If you drank 500 ml of juice, how much sugar would you consume?
  3. How many milliliters of juice contain exactly 10 grams of sugar?
  4. What percentage of the juice’s total carbohydrate content is sugar?
  5. How does the protein content change when the serving size changes?

Tip: Proportions are useful for scaling quantities based on known values, as shown in this problem!

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Math Problem Analysis

Mathematical Concepts

Proportions
Ratios

Formulas

Sugar content in 200 ml = (200 ml / 250 ml) * 25.5 g

Theorems

Proportionality Theorem

Suitable Grade Level

Grades 5-6