Ratios (SIMPLIFY)
There are 16 pens to 20 pencils. What is the ratio of pens to pencils? SIMPLIFY
4:5
Maya can choose 3 apple pies for $9 or 6 apple pies for $19. Which is the better deal? How do you know?
3 Apple pies because each pie is worth $3. However the unit rate for the 6 apple pies would be around $3.17, which is more than the unit price of the first deal.
If Rachel drives 50 miles in 2 hours, what is her rate (speed per hour).
25 miles per hour.
A comparison of two numbers is called a _________.
Ratio
Gabriel has 25 red M&Ms and 15 green M&Ms, what is the ratio of red to green? SIMPLIFY
5:3
Because you can divide 25:15 both by 5 and it simplifies to 5:3.
*Remember you must simplify both terms by the same number.
A window washer cleans 38 windows in 2 hours. At this rate, how many windows will she clean in 7 hours?
133 windows
because 38/2= 19 (Unit rate)
Then multiply the unit rate by 7, so 19 x 7= 133.
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Lily bought a package of three T-shirts for $18.00 What is the unit price per T-shirt?
$6.00
The ratio of red marbles to blue marbles
in a bag is 3 to 4. Which of the following
could be the number of red and blue
marbles in the bag?
a) 5 to 6
b) 12 to 15
c) 9 to 12
c) 9 to 12
because
3 x 3 = 9; and 4 x 3 = 12
They are equivalent ratios.
Write the ratio 2:3 in three different ways. (Not asking for three equivalent fractions)
2:3
2 to 3
2/3
The ratio of guppies to catfish in Adam's pond is 1 to 3. If there are 200 guppies in the pond, how many catfish are there?
600
Because, when you multiply 1x200, you get 200 guppies, so you need to multiply 3x200 to find the second term of the ratio.
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There are 176 slices of bread in 8 loaves. Using the same rate, how many slices of bread are in 5 loaves?
Explain how you solved to find your answer.
110 slices of bread
If Xander bought 10 bags of hot cheetos for $3.50, then how much does 1 bag cost?
$0.35
Determine if each pair of ratios or rates are equivalent. 288 miles on 12 gallons of fuel; 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.
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Give 3 equivalent fractions to the ratio 4:6.
2/3 (simplified)
8: 12 (multiplied both terms by 2)
12: 18 (multiplied both terms by 3)
20: 30 (multiplied both terms by 5)
More possible answers as long as you multiply or divide both terms by the same number.
In Jacob's math class, there are 12 boys and 15 girls. What is the ratio of girls to boys in Jacob's math class? SIMPLIFY
5:4
Because both terms were divided by 3, and the question wants the ratio of GIRLS first then BOYS.
Ashton 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 Ashton sell in 5 days?
115 more bottles of water
Mia bought a 5-pound can of peanuts for $12.50. What is the unit price?
$2.50
Determine if each pair of ratios or rates are equivalent. 16 out of 28 students own pets; 240 out of 560 students own pets
No the ratios are not equivalent.
In Gavin's math class, there are 12 boys
and 13 girls. What is the ratio of boys to
the Whole Class?
12:25
If the ratio of chairs to desks in a room is 2:3, and there are 18 desks. How many chairs are there?
12 chairs
Cindy can type 40 words per minute.
Sam can type 55 words per minute. If
Cindy and Sam each type for 30 minutes,
about how many more words will Sam
type?
450 more words
40 x 30= 1200
55 x 3= 1650
1650 - 1200 = 450
Marlina bought a box of 20 pretzel rods for $4.40. What is the price per pretzel rod?
$0.22
Determine if each pair of ratios or rates are equivalent. 8 pairs of socks for $12; 3 pairs of socks for $6
No the ratios are not equivalent.
Annabelle uses 5 gallons of gas to drive 140
miles on the highway. If she travels at the
same rate, how many miles can she
drive on 7 gallons of gas?
196 miles
because, first you would divide 140 by 5 to find the unit rate, which equals 28. Then you would multiply 28 x 7= 196.