Word Problem Solving 3

TL;DR

This content provides examples of calculating the height of a sandbox and the original price of an item given discounts.

Transcript

Let's do some more practice word problems. Patricia is building a sand box for her daughter. It is to be 5 feet wide and 8 feet long. So let me draw that. So the 5 feet wide-- it is to be 5 feet wide. So there you go. That's 5 feet right there. And 8 feet long. I'll do that in orange. 8 feet long. So this is like if we're looking down into the sand... Read More

Key Insights

• 🌍 Algebraic equations can be used to solve real-world problems, such as calculating heights and finding original prices.
• 🔇 The volume of an object can be calculated using the formula height times length times width.
• 🈹 Discounts can be calculated by multiplying the original price by the discount percentage.

Questions & Answers

Q: How do you calculate the height of a sandbox?

To calculate the height of a sandbox, you need to know its volume and the amount of sand. By setting up an equation using the volume formula, you can solve for the height. In this example, the height was found to be 9 inches.

Q: What is the formula for calculating volume in the first example?

The formula for calculating volume is height times length times width. In the first example, the volume was given as 30 cubic feet, and by setting up the equation, the height was determined.

Q: How do you find the original price when given discounts?

To find the original price of an item, you need to use the discount percentage and the final paid price. By setting up an equation involving the discount percentage, you can solve for the original price. In the second example, the original price was found to be $50.

Q: What is the formula for calculating the vacation expenditure in the third example?

The formula for calculating the vacation expenditure is to add the amount spent on clothes to 30% more of the amount spent on clothes. This can be written as 1.3 times the amount spent on clothes.

Summary & Key Takeaways

• The first example demonstrates how to calculate the height of a sandbox based on its volume and the amount of sand using algebraic equations.

• The second example shows how to find the original price of an item when given a discount percentage and the final paid price using algebraic equations.