A r__________ is a comparison or relationship between 2 quantities.
a/b a:b a to b
Ratio
Solve the proportion. Use a multiplier or cross products.
2 = _x_
12 24
x = 4
Solve the proportion.
Hint: Use a multiplier or cross products.
28 = x
42 6
x = 4
A candy store made 14 cookies with pecans and 15 cookies without pecans. What is the ratio of the cookies without pecans to the total number of cookies?
*Hint: You will need to find the total number of cookies.
15 to 29
Find the unit rate.
640 calories in 8 ounces = _____ calories in 1 ounce
80 calories in 1 ounces
A r___________ compares two quantities with different units.
Example: 24 calories in two ounces
Rate
The pet store has 12 cats and 15 dogs. What is the ratio of cats to dogs? Simplify if necessary.
12 cats to 15 dogs = 4 cats to 5 dogs
Find the unit rate.
54 pages in 6 hours = ____ pages per hour
Hint: ___ pages = ___ pages
hours 1 hour
54 = x_
6 1
X = 9
9 pages per 1 hour
Solve the proportion.
x = 4
6 3
x = 8
36 students have vanilla ice cream and 7 students have chocolate ice cream. What is the ratio of the number of students who have chocolate to the number of students who have vanilla?
7 to 36
A u____ rate is an amount per one unit.
Example: 12 calories per 1 ounce
Unit Rate
The pet store has 12 cats and 15 dogs. What is the ratio of cats to total animals? Simplify if necessary.
12 cats to 27 animals = 4 cats to 9 animals
Bowie loves to try out new hiking trails in her area. It took her 24 minutes to hike a trail that is 2 miles long. Today, she kept the same pace when she hiked the 8 mile trail.
How long did it take Bowie to hike the trail today?
Hint: Set up and solve a proportion.
___ = ___
_24 _min =_x min
2 ml 8 ml
x = 96 minutes
Solve the proportion - Use a multiplier or cross products.
28 = 56
7 x
X = 14
At Bowie's Beading Boutique, 12 out of 30 beads on clearance are plastic. What percentage of beads on clearance are plastic?
*Use cross products.
12 = _x
30 100
x = 40%
A p__________ states that two ratios are equivalent.
Proportion
Solve the proportion. Use a multiplier or cross products.
18 =_x_
36 12
X = 6
Chestatee played 4 basketball games in 9 days. At this rate how many games will they play in 81 days?
Hint: Set up and solve a proportion
_____games = ______games
days days
4/9 = x/81
x = 36
36
A tomato sauce uses 96 ounces of crushed tomatoes. How many pints of crushed tomatoes are needed to make the tomato sauce?
*32 ounces = 2 pints
Hint: Set up and solve a proportion.
32 ounces = ______ounces
2 pints pints
32/2 = 96/x
x = 6
Amazon is having a sale. For every 5 hardcover books you buy, you get 2 paperbacks books for free. If you buy 35 hardcover books, how many paperback books will you get for free?
Hint: Set up and solve a proportion.
5 = 35
2 X
X = 14
You will get 14 free paperback books.
Our class has 13 girls and 14 boys.
1. Write a part to part ratio.
2. Write a part to whole ratio.
3. Write a whole to part ratio.
Hint: Order matters.
Part to Part:
13 girls to 14 boys or 14 boys to 13 girls.
Part to Whole:
13 girls to 27 students or 14 boys to 27 students.
Whole to Part:
27 students to 13 girls or 27 students to 14 boys.
Joey ate 18 skittles from a jar. This was 25% of all of the skittles in the jar. How many skittles were in the jar before Joey ate the skittles. Set up a proportion and use cross products.
18/x = 25/100
1800 = 25x
1800/25 = x
x = 72
Chestatee competes in a track meet. The team won blue ribbons and red ribbons. For every 3 blue ribbons the team won, the team won 4 red ribbons.
At this rate, how many red ribbons will Chestatee have won after the team has won 9 blue ribbons?
Hint: Set up and solve a proportion.
____blue = _____blue
red red
3/4 = 9/x
x = 12 red
Last Tuesday, students could choose ham or turkey sandwiches for lunch. The cafeteria made 120 sandwiches in all, 75% of which were ham. How many ham sandwiches did the cafeteria make?
Hint: _part = %_
whole 100
x = _75_
120 100
x = 90 ham sandwiches
Bowie is a craftsman who makes custom guitars. Her last order was for 3 guitars, and it took her 6 weeks to make them. She receives an order to make 8 guitars. If she makes the guitars at the same rate, how long will it take Bowie to make the guitars?
Hint: Set up and solve a proportion using cross products.
3 guitars = 8 guitars
6 weeks x weeks
x = 16 weeks