The Table Shows The Food And Drinks Bought By Emma And Her 4 Friends. If Emma And Her Friends Shared The Total Cost Equally, How Much Did Each Person Spend? Show Your Work.$\[ \begin{tabular}{|l|c|c|} \hline \multicolumn{1}{|c|}{\text{Item}} &

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Introduction

In this article, we will be solving a mathematical problem involving a table of food and drinks bought by Emma and her 4 friends. The problem requires us to find out how much each person spent if they shared the total cost equally. We will be using basic arithmetic operations to solve this problem.

The Table

The table below shows the food and drinks bought by Emma and her 4 friends.

Item Cost
Pizza $15.00
Burgers $20.00
Fries $5.00
Soda $3.00
Ice Cream $8.00
Chicken Wings $12.00
Total $63.00

Step 1: Find the Total Cost

The first step is to find the total cost of all the items. We can do this by adding up the cost of each item.

Total Cost=Cost of Pizza+Cost of Burgers+Cost of Fries+Cost of Soda+Cost of Ice Cream+Cost of Chicken Wings=$15.00+$20.00+$5.00+$3.00+$8.00+$12.00=$63.00\begin{aligned} \text{Total Cost} &= \text{Cost of Pizza} + \text{Cost of Burgers} + \text{Cost of Fries} + \text{Cost of Soda} + \text{Cost of Ice Cream} + \text{Cost of Chicken Wings} \\ &= \$15.00 + \$20.00 + \$5.00 + \$3.00 + \$8.00 + \$12.00 \\ &= \$63.00 \end{aligned}

Step 2: Divide the Total Cost by the Number of People

Since Emma and her 4 friends shared the total cost equally, we need to divide the total cost by the number of people.

Cost per Person=Total CostNumber of People=$63.005=$12.60\begin{aligned} \text{Cost per Person} &= \frac{\text{Total Cost}}{\text{Number of People}} \\ &= \frac{\$63.00}{5} \\ &= \$12.60 \end{aligned}

Conclusion

In conclusion, if Emma and her friends shared the total cost equally, each person spent $12.60.

Real-World Applications

This problem can be applied to real-life situations where a group of people need to split a bill. For example, if a group of friends go out to dinner and the total bill is $63.00, they can divide it equally among themselves.

Tips and Variations

  • If the number of people is not a whole number, you can use a calculator to find the decimal value.
  • If the total cost is not a multiple of the number of people, you can use a calculator to find the remainder.
  • You can also use this problem to practice dividing decimals.

Mathematical Concepts

This problem involves the following mathematical concepts:

  • Addition
  • Division
  • Decimals
  • Fractions

Practice Problems

Here are some practice problems to help you reinforce your understanding of this concept:

  1. A group of 6 friends go out to dinner and the total bill is $90.00. If they share the cost equally, how much did each person spend?
  2. A group of 4 friends go out to dinner and the total bill is $60.00. If they share the cost equally, how much did each person spend?
  3. A group of 8 friends go out to dinner and the total bill is $120.00. If they share the cost equally, how much did each person spend?

Answer Key

  1. $15.00
  2. $15.00
  3. $15.00
    Frequently Asked Questions (FAQs) =====================================

Q: What if the number of people is not a whole number?

A: If the number of people is not a whole number, you can use a calculator to find the decimal value. For example, if the total cost is $63.00 and there are 5.5 people, you can divide the total cost by the number of people to get the cost per person.

Q: What if the total cost is not a multiple of the number of people?

A: If the total cost is not a multiple of the number of people, you can use a calculator to find the remainder. For example, if the total cost is $63.00 and there are 5 people, you can divide the total cost by the number of people to get the cost per person, and then multiply the cost per person by the number of people to get the total cost.

Q: Can I use this problem to practice dividing decimals?

A: Yes, you can use this problem to practice dividing decimals. For example, if the total cost is $63.00 and there are 5 people, you can divide the total cost by the number of people to get the cost per person, which will be a decimal value.

Q: Can I use this problem to practice dividing fractions?

A: Yes, you can use this problem to practice dividing fractions. For example, if the total cost is $63.00 and there are 5 people, you can divide the total cost by the number of people to get the cost per person, which will be a fraction value.

Q: What if I have a negative number of people?

A: If you have a negative number of people, it means that you have a debt or a loss. In this case, you can use the same formula to find the cost per person, but you will get a negative value.

Q: Can I use this problem to practice solving word problems?

A: Yes, you can use this problem to practice solving word problems. For example, if the problem states that a group of friends go out to dinner and the total bill is $63.00, and they share the cost equally, you can use the same formula to find the cost per person.

Q: Can I use this problem to practice solving real-world problems?

A: Yes, you can use this problem to practice solving real-world problems. For example, if you are planning a trip with a group of friends and you need to split the cost of the trip, you can use the same formula to find the cost per person.

Q: What if I have a zero total cost?

A: If you have a zero total cost, it means that the group of people did not spend any money. In this case, the cost per person will be zero.

Q: Can I use this problem to practice solving problems with multiple steps?

A: Yes, you can use this problem to practice solving problems with multiple steps. For example, if the problem states that a group of friends go out to dinner and the total bill is $63.00, and they share the cost equally, but one of the friends has a coupon that reduces the cost by $10.00, you can use the same formula to find the cost per person.

Q: Can I use this problem to practice solving problems with variables?

A: Yes, you can use this problem to practice solving problems with variables. For example, if the problem states that a group of friends go out to dinner and the total bill is $63.00, and they share the cost equally, but the number of people is a variable, you can use the same formula to find the cost per person.

Conclusion

In conclusion, this problem can be used to practice a variety of mathematical concepts, including addition, division, decimals, fractions, and word problems. It can also be used to practice solving real-world problems and problems with multiple steps and variables.