Working with
Ratios in Simplest Form
Ratios in Simplest Form
There are 16 girls to 20 boys. What is the ratio in simplest form?
4:5
Skylah can choose 3 apple pies for $9 or 6 apple pies for $19. Which is the better deal?
3 apple pies for $9
If Cheyenne drives 50 miles in 2 hours, what is her rate (speed per hour)?
25 miles per hour
Determine if these are equivalent:
$3 for 6 bagels; $9 for 24 bagels
No; since the unit rates $0.50/1 bagel and $0.38/1 bagel, are not the same, the rates are not equivalent.
A comparison of two numbers.
Ratio
Ryan has 25 red M&Ms and 15 green M&Ms, what is the ratio of red to green in simplest form?
5:3
A window washer cleans 38 windows in 2 hours. At this rate, how many windows will she clean in 7 hours?
133 windows
Mike bought a package of three T-shirts for $18.00 What is the unit price per T-shirt?
$6.00 per shirt
Determine if these are equivalent:
96 words typed in 3 minutes vs.
160 words typed in 5 minutes
Yes; since the unit rates are the same, 32 words/1 minute, the rates are equivalent.
A ratio comparing two different units
Rate
The ratio of catfish to trout in Aaron's pond is 1 to 3. If there are 200 catfish in the pond, how many trout are there?
600
There are 176 slices of bread in 8 loaves. Using the same rate, how many slices of bread are in 5 loaves?
110 slices of bread
If Caylee bought 10 bags of Cheetos for $3.50, then how much does 1 bag cost?
$0.35 per bag
Determine if these are equivalent:
288 miles on 12 gallons of fuel vs.
240 miles on 10 gallons of fuel
Yes; since the ratios share the same unit rate, the number of miles driven and the number of gallons of fuel form equivalent ratios.
A rate where one value is equal to one
Unit Rate
In Karmen's math class, there are 12 boys and 15 girls. What is the ratio of girls to boys in Karmen's math class in simplest form?
5:4
Justin pays $178 every 4 months for guitar lessons. At this rate, how much will Justin pay for 3 years of guitar lessons?
$1602 for 3 YEARS of lessons
Don't forget! There are 12 months in a year.
Brooklyn bought a 5-pound can of peanuts for $12.50. What is the unit price?
$2.50/pound
Determine if these are equivalent:
16 out of 28 students own pets vs.
240 out of 560 students own pets
No the ratios are not equivalent.
Two ratios that can be divided or multiplied to the same number
Equivalent Ratios
If the ratio of chairs to desk in a room is 2:3 and there are 18 desks, how many chairs are there?
12 chairs
Tristian sold 147 bags of popcorn and 216 bottles of water in 3 days. At this rate, how many more bottles of water than bags of popcorn will Tristian sell in 5 days?
115 more bottles of water
Aubree bought a box of 20 large pretzels for $4.40. What is the price per pretzel?
$0.22 per pretzel
Determine if these are equivalent:
8 pairs of socks for $12 vs.
3 pairs of socks for $6
No the ratios are not equivalent.
A word or symbol used when stating a rate
Per or /