Ratios and Rates
Tell whether the ratios form a proportion:
3/4 and 16/24
No, they do not form a proportion.
A girl scout troop uses 14 flashlight batteries on a three-night camping trip. If they are planning a seven-night trip, write a proportion to determine how many batteries they should bring? *do not solve*
14/3 = x/7
Solve the proportion:
9/5 = x/20
z = 36
Store A sold 12 jeans for $108.
Store B sold 8 jeans for $96.
Which store sells one pair of jeans for cheaper?
What is store A?
Tell whether the two rates form a proportion: 7 inches in 9 hours; 42 inches in 54 hours.
Yes, the two rates form a proportion.
switcharoo
A bag of 8 apples costs $1.50 at Sam’s Orchard. At this same rate, write a proportion to determine how much 18 apples would cost. **Do not solve!!
1.50/8 = 18/x
Solve the proportion:
10/7 = 8/k
k = 5.6
Amber took 16 minutes to run 2 miles.
Jackson took 25 minutes to run 5 miles.
Who is running faster?
Jackson
Find the unit rate: $4.80 for 6 cans
80 cents for 1 can
double
Tell whether the ratios form a proportion: 2 to 4; 11 to 14
No, the ratios do not form a proportion.
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You can buy 3 shirts for $24. Write a proportion that gives the cost c of buying 7 shirts. *do not solve*
$24/3 shirts = c/7 shirts
48 pens are packaged in 4 boxes. How many pens are packaged in 9 boxes?
108 pens are packaged in 9 boxes.
While playing softball, Emily's heart beat 80 times in 40 seconds.
While running, her heart beat 90 times in 30 seconds.
Which activity made her heart beat faster?
Running
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In one of Ms. Elder's classes, there are 13 students who play golf and 7 who do not. Write the ratio of NON-golfers to golfers 3 ways.
7:13, 7 to 13, and 7/13
You can do 90 sit-ups in 2 minutes. Your friend can do 135 sit-ups in 3 minutes. Do these rates form a proportion? Explain.
Yes, the rates form a proportion.
Will’s Widget Works can produce 2 tons of widgets in an 8 hour work day. Write a proportion to determine how many tons of widgets would be produced between 9 am and noon? ** Do not solve!!!
2/8 = x/3
It costs $10.50 for 3 medium pizzas. How much does it cost to buy 10 medium pizzas?
It will cost $35 for 10 medium pizzas.
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Car A traveled 240 miles in 4 hours.
Car B traveled 350 miles in 5 hours.
Which car traveled faster in one hour?
Car B
It costs $68 for 16 square feet of flooring. What is the unit rate?
$4.25 per square foot.
A specific shade of red nail polish requires 7 parts red to 2 parts yellow. A mixture contains 35 quarts of red and 8 quarts of yellow. Will the mixture be the correct shade of red?
No.
7/2 != 35/8
Denise’s rabbit can eat 70 pounds of food in 80 days. Write a proportion to determine how long it will take the rabbit to eat 87.5 pounds of food?
70/80 = 87.5/x
The ratio of adults to children in an auditorium is 5 to 3. If there are 54 children, how many adults are there?
90 adults are in the audience.
Ms. Packey has 10 chickens. She paid $70 for 10 chickens. How many chickens could she buy with a budget of $91?
13 chickens
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