Ratios and Rates
Word Problem
part/whole = %/100
More Ratios - models & tables
% --> decimal --> fraction
Percent Problems
100
Santiago receives an allowance of $7 every week. How much total does he receive after 4 weeks.
What is $28.
100
What word in this equation represents part? What word represents whole?
Part is represented by IS Whole is represent by OF
100
Shea is an artist that likes to draw cars. He draws 4 Corvettes, 3 Mustangs, and 5 Porsches for his car calendar? What is the ratio of Porsches to Corvettes?
What is 5:4?
100
Write 5% in decimal and fraction form.
decimal : .05 fraction : 5/100
100
Sam runs on a treadmill at at steady pace. On a coordinate system with x representing hours and y representing distance, graph each hour for 5 hours. In 3 hours he runs 24 miles.
Hours on x axis, distance on y axis 1 hr shows point at (1,8) 2 hrs shows point at(2,16) 3 hrs shows point at (3, 24) 4 hrs shows point at (4, 32) 5 hrs shows point at (5, 40)
200
An ostrich can run at a rate of 50 miles in 60 minutes. At this rate, how long would it take an ostrich to run 15 miles? How about 1 mile?
15 miles= 18 minutes 1 mile= 1.2 minutes
200
What is 15% of 60?
9 is 15% of 60. Several ways to solve this equation... 15 / 100 = X /60 or .15 X 60 =
200
Lily keeps a chart for the allowance she earns each month for doing chores. Complete the table to show the amount of money she earns each month. What is the unit rate ? Amount of allowance 56 84 Number of months 1 2 3 4 5 6 7
What is Amount of allowance 28 56 84 112 140 168 Number of months 1 2 3 4 5 6 Unit RATE is $28
200
Write 750% in decimal and fraction form.
decimal : 7.50 fraction : 750/100
200
A store sells taffy in small bags and large bags. The small bags have 1/2 pounds of taffy for $4.35 and the large bags have 4 pounds for $31.92. Which is the Better Buy? Explain.
The larger bag because you pay $3.99 per pound The smaller bag you will pay $4.70 per pound
300
To make 5 apple pies, you need about 2 pounds of apples. How many pounds of apples do you need to make 20 apple pies.
20 apple pies = 8 pounds of apples
300
25 is what percent (%) of 400?
25 is 6.25% of 400. One way to solve this equation... 6.25 / 100 = X /400
300
If I am traveling a total distance of 430 miles and it takes me 8 hours, what was my rate?
r = 86 miles/ hour
300
Write .4 in percent and fraction form.
percent : 40% fraction : 40/100
300
A store sells taffy in small bags and large bags. The small bags have 1/2 pounds of taffy for $4.35 and the large bags have 4 pounds for $31.92. Write an equivalent fraction that gives unit rate of price per pound for each bag.
What is Small bag: $8.70/1 pound Large bag: $7.98 / 1 pound
400
Four balls of wool will make 8 knitted caps. How many balls of wool will Marcella need if she wants to make 6 caps?
6 caps= 3 balls of wool
400
A store is having a sale. A dress that was originally $70 is now 30% off. What is the new price of the dress?
The new price of the dress is $49. 30 /100 = X / 70, X = $21 However we need to take $21 away for $70 to get sale price of dress
400
Janet buys 16 uniforms for the cheerleaders. She pays $544 in total. Which ratios describe the relationship of price to uniforms? Choose all that apply. A. 16:256 C. 1 to 16 E. 1: 34 B. 34/1 D. 256 to 16
What is B? $34 dollars for 1 uniform
400
Write 2/4 in percent and decimal form.
percent : 50% decimal : .5
400
Ron drives 629 miles to visit his friend. He uses cruise control (constant rate) and travels 216 miles in 3 hours. At this rate how long does it take him to make the trip?
What is 8 1/2 hours?
500
A soup that serves 16 people calls for 2 cans of chopped clams, 4 cups of chicken broth, 6 cups of milk, and 4 cups of cubed potatoes. How much of each ingredient would you need to make an identical recipe that serves 8 people? 32 people?
8 people: 1 can of chopped clams 2 cups of chicken broth 3 cups of milk 2 cups of cubed potatoes ------------ 32 people: 4 can of chopped clams 8 cups of chicken broth 12 cups of milk 8 cups of cubed potatoes
500
A store is selling a jacket for $45. They are running a sale that gives 45% off all jackets. What is the amount of 45% off and what is the new price of the jacket?
45 / 100 = x /$45 45% off is equal to $20.25 New price for jacket is $45.00 - $20.25 = 24.75
500
There are 5 blue pencils, 4 yellow pencils and 9 red pencils. Draw a picture to model the situation. Write the ratio of yellow pencils to total pencils 3 different ways.
Drawings will be evaluated on marker boards Three different ways to write the ratio are: 4/18 , 4 to 18 , and 4:18
500
Write .01 in percent and fraction form.
percent : 1% fraction : 1/100
500
A camping store has 420 tents for sale. The store sells 75 % of the chairs by the end of the day. Which statements are T. A. The store has 25% of the chairs left. B. The store has 105 tents left. C. 420 divided by .75 can be used to find tents sold. D. The store sold 315 tents.
What are A, B and D?
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