Topic 4 Mid-Topic 4 Analyze and Solve Percent ProblemsReview

A percent is a constant of proportionality describing the part of the whole.

• True

• False

Sewing patterns recommend buying extra fabric in case of mistakes. 

Jessica bought 5 yards of fabric, plus 20% extra fabric.

Derek bought 3 yards of fabric, plus 25% extra. 

Who bought more fabric? How much more?

• Derek;  $3.75$  

• Jessica; $2\frac{1}{4}$  

• Derek;  $2\ \frac{1}{4}$  

• Jessica;  $6$  

Lou and Jacob each sold 200 pieces of jewelry. If 20% of Lou’s sales were rings, and Jacob sold 35 rings, who sold more rings? How many more?

• Lou sold 15 more rings than Jacob.

• Jacob sold 20 more rings than Lou.

• Lou sold 5 more rings than Jacob.

• Jacob sold 5 more rings than Lou.

Elsie bought a video game for $85.00. If the store charges 170% of its cost for the game, how much is the store’s profit?

• $59.5

• $35

• $229.5

• $120

Find the percent.

Katrina made 4 of her last 5 shots.

• $33\ \frac{1}{3}\%$

• $80\%$

• $15\%$

• $95\%$

Find the percent.

Miguel runs faster than this 19 teammates. What percent of her team is slower than Miguel?

• $33\ \frac{1}{3}\%$

• $80\%$

• $15\%$

• $95\%$

Find the percent.

Fifty of 150 students wear school spirit T-shirts. 

• $33\ \frac{1}{3}\%$

• $80\%$

• $15\%$

• $95\%$

Find the percent.

Micah saved $6 on a $40 pair of pants. 

• $33\ \frac{1}{3}\%$

• $80\%$

• $15\%$

• $95\%$

If you know that 84 is 70% of the whole, explain how you can use proportional reasoning to determine the whole. You may select multiple answers.

• Write 70% as a ratio: $\frac{70}{100}$ .

• Write a ratio that compares 84 to the whole, w: $\frac{84}{w}$ .

• These ratios must be equivalent, so write the equation $\frac{70}{100}=\frac{84}{w}$ .

• Solve for w: w=120.

• None of the above