Calculate 25% Water Content: Converting 500g Jam Mixture to Cubic Centimeters

Q: What if the problem asked about the strawberry portion instead?

The strawberry makes up the remaining 75% of the mixture (100% - 25% = 75%). So strawberry weight = 0.75 × 500g = 375g. However, strawberry has a different density than water!

Q: How do I convert percentages to decimals quickly?

Move the decimal point two places to the left! For example: 25% becomes 0.25, 8% becomes 0.08, and 150% becomes 1.50.

Q: What if the water percentage was a different number?

The method stays the same! If it were 30% water: $ 0.30 \times 500 = 150 \text{ grams} $, which equals 150 cm³ of water volume.

Q: Can I solve this problem in one step?

Yes! Since water density is 1 g/cm³, the weight in grams equals the volume in cm³. So: $ 0.25 \times 500 = 125 \text{ cm}^3 $ directly.

Percentage Calculations with Density Conversion

A jar contains 500 grams of jam. 25% of the weight is water, while the rest is strawberry. How many cubic centimeters of water are there in the jar?

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

A jar contains 500 grams of jam. 25% of the weight is water, while the rest is strawberry. How many cubic centimeters of water are there in the jar?

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Calculate the weight of water.
Step 2: Convert this weight into volume (cubic centimeters).

Let's work through each step:

Step 1: Calculate the weight of water.
The total weight of the jar's contents is 500 grams. Since 25% of this weight is water, we calculate the weight of water as follows:

$\text{Weight of water} = 25\% \times 500 \text{ grams}$

$\text{Weight of water} = 0.25 \times 500 = 125 \text{ grams}$

Step 2: Convert the weight into volume.
Given that the density of water is 1 gram per cubic centimeter, the volume of water can be directly found as follows:

$\text{Volume of water (in cm}^3\text{)} = \text{Weight of water (in grams)}$

$\text{Volume of water} = 125 \text{ cm}^3$

Therefore, the solution to the problem is 125 cubic centimeters of water.

Final Answer

125

Key Points to Remember

Essential concepts to master this topic

Percentage Rule: Convert percent to decimal by dividing by 100
Technique: Calculate 25% of 500g = 0.25 × 500 = 125g
Check: Water density is 1 g/cm³, so 125g = 125 cm³ ✓

Common Mistakes

Avoid these frequent errors

Forgetting to convert weight to volume
Don't just calculate 25% of 500g and stop at 125g! This gives weight, not volume. Always remember that the question asks for cubic centimeters, so convert using water's density: 125g ÷ 1 g/cm³ = 125 cm³.

Practice Quiz

Test your knowledge with interactive questions

Calculate 15% of 100:

FAQ

Everything you need to know about this question

Why does the density of water matter in this problem?

The density tells us how much space (volume) a certain weight occupies. Since water has a density of 1 gram per cubic centimeter, 125 grams of water takes up exactly 125 cubic centimeters of space.

What if the problem asked about the strawberry portion instead?

The strawberry makes up the remaining 75% of the mixture (100% - 25% = 75%). So strawberry weight = 0.75 × 500g = 375g. However, strawberry has a different density than water!

How do I convert percentages to decimals quickly?

Move the decimal point two places to the left! For example: 25% becomes 0.25, 8% becomes 0.08, and 150% becomes 1.50.

What if the water percentage was a different number?

The method stays the same! If it were 30% water: $0.30 \times 500 = 150 \text{ grams}$ , which equals 150 cm³ of water volume.

Can I solve this problem in one step?

Yes! Since water density is 1 g/cm³, the weight in grams equals the volume in cm³. So: $0.25 \times 500 = 125 \text{ cm}^3$ directly.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Percentage questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime