# Constructing and solving equations in the real world 1 exercise | Summary and Q&A

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July 16, 2013
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Constructing and solving equations in the real world 1 exercise

## TL;DR

The video explains how to create and solve equations to solve problems related to pizza, ice cream sandwiches, and candy sales.

## Key Insights

• ๐จ๐ท Equations can be used to solve problems involving costs and quantities.
• ๐ Manipulating equations can help find the value of variables.
• ๐น A sum equation can represent the total quantity of items from multiple sources.

## Transcript

Anna wants to celebrate her birthday by eating pizza with her friends. p boxes of pizza cost \$40 total. Each box of pizza costs \$8. Select all equations that describe this situation. So before I even look at that, let me at least try to construct one in my own brain. So p boxes of pizza cost \$40, each box of pizza cost \$8. So one way that I could s... Read More

### Q: How can you find the total cost of pizza boxes?

The total cost of pizza boxes can be found by multiplying the number of boxes (p) by the cost per box (\$8). The equation is 8p = total cost.

### Q: Is it possible to manipulate the equation "8p = \$40" to find the value of p?

Yes, by dividing both sides of the equation by 8, you can find that p = \$40 รท \$8, which simplifies to p = 5.

### Q: Can you explain the significance of the equation "5 + n = 12" in relation to ice cream sandwiches?

The equation represents the sum of the number of ice cream sandwiches Molly (5) and Tory (n) ate together (12). It can be used to solve for the value of n.

### Q: How can you determine the number of candy boxes to sell in order to reach a fundraising goal of \$500?

By setting up the equation 2c = \$500, where c represents the number of candy boxes, you can solve for c. Divide both sides by 2 to find c = \$500 รท \$2, which simplifies to c = 250.

## Summary & Key Takeaways

• The video discusses using equations to determine the total cost of pizza boxes based on the number of boxes and cost per box.

• It demonstrates how to solve the equation "8p = \$40" to find the value of p.

• Another example involves using equations to calculate the total number of ice cream sandwiches two people ate based on individual quantities.

• The video also presents an example of using an equation to determine the number of candy boxes needed to reach a fundraising goal of \$500.