Equivalent Ratios
Write an equivalent ratio:
6 girls to 8 boys.
12 to 16 & 3 to 4 are examples
If Brooke drives 50 miles in 2 hours, how fast is she driving? (Hint: unit rate)
25 mph
2/3 and 4/6
Yes, proportional.
Troy has more than two dogs at home. All of them are corgis, except for two. All of them are pugs, except for two. All of them are labs, except for two. What kinds of dogs and how many of each kind does Troy have?
Troy has 3 dogs: one corgi, one pug, and one lab
Anna earns $12 in 3 hours. How much does she make in 5 hours?
$20
Write two equivalent ratios to:
10 limes to 6 lemons
5:3 and 20:12 are examples
If Branden types 120 words per 3 minutes, what is his rate of typing? (Hint: unit rate)
40 words per minute
Are 1/6 and 2/7 proportional?
Not Proportional.
When Miguel was 6 years old, his little sister, Leila, was half is age. If Miguel is 40 years old today, how old is Leila?
She is 37 years old.
Sydney gets 10 points in 4 games. How many does she get in 6 games?
15 points
Which of the following are equivalent ratios:
1 to 3, 4:9, 5/15, 7 to 28
1 to 3 & 5/15
If 10 bags of Hot Cheetos cost $3.50, then how much does 1 cost?
$0.35
Are 6/8 and 9/12 proportional?
(Prove using cross multiplication)
Yes proportional.
6 x 12 = 72, and 9 x 8 = 72
How far can a dog run into the woods?
Half way (after that, the dog would be running out of the woods)
Henry reads 8 pages in 6 minutes, then he reads 4 pages in how many minutes?
3 minutes
Equivalent ratios set equal to each other are called a ______.
proportion
Which is the better deal:
$20 for 5 t-shirts or $24 for 8 t-shirts (Hint: calculate the price per shirt for each)
$24 for 8 t-shirts (rate of $3 per shirt)
Are 5/10 and 4/8 proportional?
(prove using cross multiplication)
Yes proportional.
5 x 8 = 40, 10 x 4 = 40
Frank was born in 1932 and died in 1950, at the age of 74. How can this be?
He was born in room 1932 and passed away in room 1950 of the same hospital
Michael texts 60 words in 4 minutes, then he texts 45 words in how many minutes?
3 minutes
To find an equivalent ratio, we must perform the following (there are two answers):
(A) Addition
(B) Subtraction
(C) Multiplication
(D) Division
(C) and (D)
Multiply or divide by the same number in the numerator and the denominator.
What is a unit rate?
a ratio where the bottom number is a 1
Are 12/20 and 3/10 proportional?
(prove using cross multiplication)
Not proportional.
12 x 10 = 120, 20 x 3 = 60
Mom and dad have four daughters, and each daughter has one brother. How many people are in the family?
Seven
Zach studies 25 hours for 2 tests, and studies 100 hours for how many tests?
What is 8 tests.