Camdyn is making a recipe which calls for cups of flour, but she wants to make her recipe larger than the original. How many cups of flour should she use?

Camdyn starts to solve this problem by drawing the following picture. Label this picture carefully and finish her solution.

A farmer is looking over a yearly weather forecast, and decides to plant fewer acres of soybeans this year. If the farmer planted acres of soybeans last year, how many acres do they plan to plant this year?

Gabriella solves the problem above with the following equation. Answer the questions which follow the equation, and then finish Gabriella’s solution.

(a)
Why does Gabriella use multiplication? What are the groups and objects here?
(b)
Why does the decimal appear, and how is this related to our original definition of percents? (You should need to discuss the connection between fractions and percents here!)
(c)
Use Gabriella’s work to finish solving this problem.
The price of a shirt was marked up 15. The new price is 69.00. What was the price of the shirt before it was marked up?

Adrian solves the problem above with the following equation. Answer the questions which follow the equation, and then finish Adrian’s solution.

(a)
Why does Adrian add in her solution? What does this mean?
(b)
Why does Adrian use multiplication? What are the groups and objects here?
(c)
Why is the on the other side of the equation from Gabriella’s equation above? What does this mean for the solution?
There were 80 gallons of gas in a tank. Now there are only 50 gallons left. By what percent did the amount of gas in the tank decrease?

Millie solves the problem above with the following equation. Answer the questions which follow the equation, and then finish Millie’s solution.

(a)
What does the fraction mean in this context? What is the whole for this fraction?
(b)
What does the fraction mean in this context? What is the whole for this fraction?
(c)
Why are these two fractions equal to one another?
(d)
Use Millie’s work to finish solving the problem.
Jimin works in a factory inspecting automobile parts. In a typical day, Jimin identifies of the automobile parts as defective. If Jimin inspects items, how many of those items do you expect Jimin to identify as defective?

Here is Layla’s reasoning to solve this problem. “ means out of every . So items is hundreds, and half of another hundred. So I expect Jimin to identify 32 eights and half of another eight as defective.”

Do you agree with Layla’s reasoning? Why or why not? Can her reasoning be used to solve the original problem? Explain your work, including the meaning of any operations you use.

Whoopiedoo makeup used to be sold in 4-ounce tubes. Now it is sold in 5-ounce tubes for the same price. Ashlee says the label should read “25 more free,” while Carly thinks it should read “20 more free.” Who is right, who is wrong, and why? Help the person with the incorrect answer understand her error and explain how to correct it. Draw pictures to aid your explanation.
The problems in this activity are percent increase or percent decrease problems. How are they different from the percent problems we solved at the beginning of the semester? Do you notice any similarities between the problems we’ve solved today, or any themes from our work today?
2026-07-17 02:45:43