Section 1: Ratios
What are the three ways to write ratios?
3 to 1
3 : 1
3 / 1
Tom walks 48 feet in 8 seconds. Find his unit rate in feet per seconds.
48 feet / 8 seconds = 6 feet/seconds
A bag of candy contains 300 pieces of which 28% are red. How many pieces are red? How many pieces are NOT red?
84 pieces are red
X = .28(300)
216 pieces are not red
X = .72(300)
Zach runs 48 feet in 8 seconds. Ally runs 60 feet in 12 seconds. Who runs at a faster rate?
Zach runs 6 feet per second. Ally runs 5 feet per second.
Zach runs faster because he runs more feet per second.
Write two ratios that are equivalent to the ratio 4 stars to 7 hearts
8 stars to 14 hearts
12 stars : 21 hearts
16 stars / 28 hearts
20 stars to 35 hearts
A jump roper is jumping rope at a constant rate of speed. She completes 38 jumps in 6 seconds. At this rate, how many jumps could she complete in 30 seconds?
190 jumps in 30 seconds.
38 jumps / 6 seconds = x (6.33) jumps / 1 second = x (190) jumps / 30 seconds
DOUBLE JEOPARDY
In Ty's art class, 12% of the Flag Day art projects received a perfect score. There were 25 art projects turned in by Ty's class. How many of the art projects earned a perfect score?
3 art projects
X = .12(25)
Maria is at Giant looking to buy soup. Campbells is selling their chicken noodle soup for $1.25 in a 10.7 oz can. Progressive their chicken noodle soup for $3.99 in a 19 oz can. Which soup is a better deal?
Campbells soup: $0.12 per oz
Progressive soup: $0.21 per oz
Campbells soup would be a better deal.
The school store only sells pencils and folders. They have a total of 35 items to sell. 28 of the items are pencils. Write the ratio of pencils to folders.
28 pencils to 7 folders
28 pencils : 7 folders
28 pencils / 7 folders
Gum is on sale at two local grocery stores. Giant is selling 3 packs for $2.55 and Acme is selling 2 packs for $2.26. Which store’s gum is cheaper per pack?
Giant: $0.85 per 1 pack
Acme: $1.13 per 1 pack
Giant's gum is cheaper per pack.
Last semester, 150 out of the 800 students at Jackson Junior High made the Honor Roll. What percent of the students did not make the Honor Roll?
81.25%
students who did not make honor roll = 800 - 150 = 650
650 = 800X
Mrs. Brown and Ms. Miletto are making trail mix for a hike this weekend. Mrs. Brown uses 1 cup of fruit for every 3 cups of M&Ms. Ms. Miletto uses 3 cups of fruit for every 5 cups of M&Ms. Whose trail mix has more fruit?
When they both have 15 cups of M&Ms, Ms. Miletto's recipe has 9 cups of fruit and Mrs. Brown's recipe has 5 cups of fruit. Ms. Miletto's recipe has more fruit.
DOUBLE JEOPARDY
Sarah is making a smoothie. Sarah uses 7 strawberries for every 2 bananas. If she uses 8 bananas, how many strawberries would she use? *use a ratio table*
7 strawberries 2 bananas
14 strawberries 4 bananas
21 strawberries 6 bananas
28 strawberries 8 bananas
She would use 28 strawberries in her smoothie when she uses 8 bananas.
DOUBLE JEOPARDY
Jake has a mix of tennis balls and stuffed animals for dog toys. His ratio of toys is 6 tennis balls for every 2 stuffed animals. In total, he has 48 dog toys. How many of each toy does Jake have?
Jake has 36 tennis balls and 12 stuffed animals.
If about 15% of prime-time television is devoted to commercials, how many minutes of commercials are broadcast during each hour?
9 minutes
There are 60 minutes in an hour
X = .15(60)
For every 5 cookies, there are 2 toffee bars. If there are 30 more cookies than toffee bars, how many of each type of dessert is there?
There are 50 cookies and 20 toffee bars.
It is the mile run today in gym class. In 6th grade, for every 8 students who ran, 15 walked. In 8th grade, for every 10 students who ran, 12 walked. Which grade has more students who walked compared to students who ran?
When the number of students who ran is 40, 6th grade has 75 students who walked and 8th grade has 48 students who walked. 6th grade has more students who walked.
Which store is a better buy? Sam's club is selling 5 shirts for $21.25. Costco is selling 4 shirts for $18.20.
Sam's Club: $4.25 per shirt
$21.25 / 5 shirt = x ($4.25) / 1 shirt
Costco: $4.55 per shirt
$18.20 / 4 shirt = x ($4.55) / 1 shirt
Sam's Club is the better buy because it is cheaper per shirt.
Maya spent 40% of her savings to pay for a bicycle that cost her $85. How much money was in her savings to begin with?
$212.50
85 = .40X
At Stimson Middle School, the cafeteria served chicken nuggets 20% of the school days. If there were 160 school days, how many days were chicken nuggets served?
32 days
X = .20(160)