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Chapter 1: Problem 51

Elena buys 5 video games at \(\$ 64\) each and pays for them with \(\$ 10\) bills. How many \(\$ 10\) bills does it take?

Short Answer

Expert verified
32

Step by step solution

01

- Calculate the Total Cost

First, determine the total cost of the video games. Multiply the number of video games (5) by the price of each video game (\text{\(64\$\)}). Total Cost = 5 \times 64 = 320 \text{\$\}
02

- Determine the Number of \(10\$\) Bills Needed

Next, calculate how many \(10\$\) bills are needed to cover the total cost. Divide the total cost (320 \$$$) by the value of each bill (10 \$$$). Number of \(10\$\) bills = \(\frac{320}{10}\$\) = 32

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Multiplication
Multiplication is a basic arithmetic operation that combines groups of equal sizes. When you multiply, you are essentially adding the same number several times.
For instance, in our exercise, Elena buys 5 video games, each priced at \$ 64. To find the total amount spent, you multiply the number of video games (5) by the price of each game (64).
So, the calculation is: 5 \( \times \) 64 = 320.
This operation shows that if you have 5 groups of 64 dollars, you end up with 320 dollars in total.
Multiplication skills are crucial in everyday scenarios, like calculating costs, estimating times, and determining quantities.
Division
Division is the process of splitting a number into equal parts. It鈥檚 like distributing something equally among a group.
In the exercise, we need to find out how many \$ 10 bills are needed to pay for something that costs \$ 320. This is where division comes in.
We take the total cost (320) and divide it by the denomination of the bill (10). The calculation is: \[ \frac{320}{10} = 32. \]
This means that 32 \$ 10 bills are needed to cover the entire cost.
Division helps us in many real-life situations such as splitting a bill at a restaurant, dividing tasks among team members, or even sharing materials equally.
Money Calculations
Money calculations are essential for managing finances. They involve addition, subtraction, multiplication, and division to keep track of spending and savings.
In this exercise, we multiplied to find the total cost and then divided to find out how many bills were needed.
Accurate money calculations help us budget effectively, plan expenses, and avoid overspending.
  • Always double-check your calculations to ensure accuracy.
  • Use a calculator for complex operations.
These steps ensure that your financial decisions are based on correct and reliable data.
Unit Cost
Unit cost is the price per single item or unit. Understanding unit cost helps you compare prices and make better purchasing decisions.
In our exercise, the unit cost of a video game is \$ 64. Knowing this unit cost allows you to quickly find out the total cost for any number of games.
For example, if Elena wanted to buy 3 games, she would multiply the unit cost (64) by the quantity (3): \[ 3 \times 64 = 192. \]
The concept of unit cost is widely used in shopping, budgeting, and even in business for pricing products.
  • Always check the unit price when shopping to compare deals.
  • It helps in understanding if buying in bulk saves money.

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