Calculate 50% Discount: Finding University Registration Fee Reduction from $424

Q: Why does a 50% discount mean I pay 50% of the original price?

When you get a 50% discount, you're saving 50% of the original price. That means you only pay the remaining 50%. Think of it as: Original Price = What You Save + What You Pay.

Q: Can I just divide $424 by 2 instead of multiplying by 0.50?

Yes! Dividing by 2 is the same as finding 50%. Both methods give you $ \$212 $. Use whichever feels easier for you!

Q: Do I need to include the dollar sign in my math?

For calculations, you can drop the $ \$ $ sign and just work with numbers. Just remember to add it back in your final answer since we're dealing with money!

Percentage Discount with Fee Calculations

The registration fees for the University of Lima are 424$ : At the open house they gave a discount of 50%. What are the registration fees for the university at the open house?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Calculate the registration fees on the open day

00:05 Convert percentages to fractions

00:11 We'll use the formula to convert percentages to fractions

00:19 Apply this formula to our exercise

00:34 We'll break down 100 into factors of 2 and 5

00:39 Reduce wherever possible

00:44 This is the discount

00:54 Multiply this fraction by the original price in order to determine the new price

01:04 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

The registration fees for the University of Lima are 424$ : At the open house they gave a discount of 50%. What are the registration fees for the university at the open house?

Step-by-step solution

The problem involves calculating a simple percentage discount. We start by determining 50% of the original fee.

Step 1: Calculate the discount amount.
$50\% \text{ of } 424 = 0.50 \times 424 = 212$
Step 2: Calculate the registration fee at the open house.
Since the open house discount is 50%, the registration fee would be:
$424 - 212 = 212$

Therefore, the registration fees for the university at the open house are $\$212$ .

Final Answer

212

Key Points to Remember

Essential concepts to master this topic

Rule: A 50% discount means you pay remaining 50%
Technique: Calculate discount amount: 0.50 × $424 = $212
Check: Final price plus discount equals original: $212 + $212 = $424 ✓

Common Mistakes

Avoid these frequent errors

Confusing discount amount with final price
Don't think the discount amount ($212) is what you still owe! The discount is what you save, not what you pay. Always subtract the discount from the original price to find what you actually pay.

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction $\frac{75}{100}$

to a percentage:

FAQ

Everything you need to know about this question

Why does a 50% discount mean I pay 50% of the original price?

When you get a 50% discount, you're saving 50% of the original price. That means you only pay the remaining 50%. Think of it as: Original Price = What You Save + What You Pay.

Can I just divide $424 by 2 instead of multiplying by 0.50?

Yes! Dividing by 2 is the same as finding 50%. Both methods give you $\$212$ . Use whichever feels easier for you!

What if the discount was 25% instead of 50%?

For a 25% discount: multiply by 0.25 to find the savings, then subtract from $\$424$ . So you'd save $\$106$ and pay $\$318$ .

How do I check if my discount calculation is right?

Add your final price and the discount amount together. If they equal the original price, you're correct! For example: $\$212 + \$212 = \$424$ ✓

Do I need to include the dollar sign in my math?

For calculations, you can drop the $\$$ sign and just work with numbers. Just remember to add it back in your final answer since we're dealing with money!

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