How to write one-step equations for word problems | 6th grade | Khan Academy | Summary and Q&A

TL;DR

The content explains how to write equations to determine the number of boxes of pizza or candy that can be bought based on the total amount spent or the fundraising goal.

Key Insights

• 🍕 Equations can be used to determine the number of pizza or candy boxes that can be bought based on the total amount spent or the fundraising goal.
• 🍱 In the first example, dividing the total amount spent by the price per box results in an equation for the number of pizza boxes.
• 🍱 Rearranging the equation allows finding the price per box given the number of boxes and the total amount spent.
• 🍱 In the second example, dividing the fundraising goal by the amount made per box creates an equation for the number of candy boxes.

Transcript

• [Voiceover] Anna wants to celebrate her birthday by eating pizza with her friends. For $42.50 total, they can buy p boxes of pizza. Each box of pizza costs $8.50. Select the equation that matches this situation. So before I even look at these, let's see if I can make sense of the sentence here. So for $42.50 total, and I'll just write 42.5, espec... Read More

Questions & Answers

Q: How can you determine the number of boxes of pizza Anna can buy with a total of $42.50?

To find the number of boxes, divide the total amount ($42.50) by the price per box ($8.50), resulting in the equation p = 8.5 x 42.5.

Q: How can the equation in the first example be rearranged to find the price per box instead of the number of boxes?

To find the price per box, divide both sides of the equation p = 8.5 x 42.5 by 42.5, yielding 8.5 = 42.5/p.

Q: How can you calculate the number of boxes of candy Mr. Herman's class needs to sell to reach their $500 goal?

Divide the fundraising goal ($500) by the amount made per box ($2.75) to obtain the equation 2.75c = 500, where c represents the number of candy boxes.

Q: How does the equation for the second example differ from the equation in the first example?

While the structure is similar, the second equation (2.75c = 500) represents the fundraising goal as the total amount made (2.75 per box times c boxes) and is set equal to the target amount of $500.

Summary & Key Takeaways

• The first example involves Anna and her friends wanting to buy pizza. By dividing the total amount spent on pizza by the price per box, the equation p = 8.5 x 42.5 is derived.

• The second example features Mr. Herman's class selling candy for a school fundraiser. By dividing the fundraising goal of $500 by the amount made per box ($2.75), the equation 2.75c = 500 is formed.