RATIOS
Kelly has 15 blue bracelets and 12 green bracelets. What is the ratio of Kelly’s blue bracelets to green bracelets?
5:4
This ratio is 15 : 12. It can be simplified by dividing both numbers by 3 = 5 : 4.
If you can read 40 pages in 2 hours, how many pages can you read in 5 hours?
100
Here, y, the number of pages you can read in 5 hours, is not known. You do know how many pages you can read in 2 hours. k is the ratio of how much greater 5 is than 2, 5/2 times y = 5/2 times 40 = 100 pages
A salesperson at a furniture store earns a 3% commission on all sales. How much commission does the salesperson earn on a $1400 sale?
The correct answer is $42.
3% as a decimal is 0.03. You multiply 1,400 by 0.03 to get $42.
Convert 3 feet to inches.
The solution is 36 inches. Since there are 12 inches in 1 foot you have to multiply 12 and 3 to get 36 inches.
Oliver is determining the number of cats in his math class. Oliver is collecting what kind of data?
Quantitative data is numerical.
Jerry's softball team is made up of 15 players, and 9 of them are boys. On the team, what is the ratio of boys to girls?
3:2
3:2 is correct. Since there are 9 boys there must be 6 girls, and 9:6 reduces to 3:2.
A motorist traveled 311 miles on 12 gallons of gas. To the nearest tenth, how many miles can the motorist travel on one gallon of gas?
25.9
311miles / 12 gallons = 25.9 miles per gallon
What number is 30% of 80?
24
30/100 = X/80... cross multiply 2400 = 100x, x = 24
Convert 4 hours to minutes.
The solution is 240 minutes. Since there are 60 minutes in 1 hour you have to multiply 60 and 4 to get 240 minutes.
Allie noticed that to get her test grade, she could take Valerie's grade, multiply it by 2 and subtract 15. If Valerie's test grade was x, how would you write Allie's test grade?
Take Valerie's test grade, x, multiply it by two and add 15.
Allie test grade is 2x - 15 points.
The ratio of boy to girls in a class is 3:2. There are 15 boys in the class. How many total boys and girls are in the class?
25
A 3:2 ratio can be used in a proportion.
15 × 2 ÷ 3 = 10. 10 + 15 = 25
A lion's heart beats 12 times in 16 seconds. How many heartbeats will it have in 60 seconds?
45
The correct proportion is 12/16 = h/60, then cross-multiply and solve the resulting equation. The answer is 45 heartbeats.
Write 987% in decimal form.
The solution is 9.87. To convert from a percent to a decimal, move the decimal point two places to the left.
Convert 330 grams to ounces.
Note: There are 454 grams in a pound.
11.6 ounces
330g x 1lb/454g x 16oz/1lb = 11.6 ounces
If the conversion factors are properly set up and all numbers are correct, the unwanted units cancel out leaving the units of the final answer.Tate has 5 more than twice as many pennies as Mia. If Mia has x pennies, how many does Tate have?
A) 2x
B) 5 + x
C) 5 + 12x
D) 5 + 2x
5 more than twice as many can be written as 5 + 2x. More than means add and twice means multiply by two.
A bag contains 5 red marbles, 3 blue marbles, 7 yellow marbles, and 2 green marbles. Which ratio can be used to compare the red marbles to the blue marbles?
5/3
Since the red marbles were mentioned first in the comparison, the number 5 must be in the numerator of the ratio.
Target sells 24 bottles of water for $3, and 36 bottles of water for $4. Which is the better buy and by how much?
3/24 = 0.125 and 4/36 = 0.111
Also: 0.125 - 0.111 = 0.014, or 1.4 cents.
So, the answer is 36 bottles for $4 by 1.4¢.
Which statement is true?
A) 25% ≥ 0.25
B) 25% ≤ 0.24
C) 25% = 0.025
D) 25% > 0.25
A) 25% is equal to 0.25 so 25% ≥ 0.25.
The symbol ≥ is greater than or equal to. The numbers are equal.
Sally has 15 quarts of milk. One quart is equal to
1 /4 of a gallon. How many gallons of milk does Sally have?
3 3/4.
Fifteen quarter-gallons are equivalent to 15 × 1/4 = 15/4, which equals 3 3/4 gallons.
Jamaal is traveling 20 miles an hour slower than Micah. Micah is traveling n miles an hour. Write an expression to describe how fast Jamaal is traveling.
If Jamaal is traveling slower than Micah, we subtract 20 from Micah's speed.
The correct answer is n - 20.
X Y
2 12
? 30
7 42
What number is missing from the table of equivalent ratios?
5
The ratio of x to y is 1 to 6 because 2 X 6 = 12 and 7 x 6 = 42. Since 5 x 6 = 30, 5 is the missing number.
Brand A: 20 for $2.50
Brand B: 35 for $3.25
Brand C: 50 for $5.25
Brand D: 100 for $10.00
The school nurse is low on bandaids. She heads to the store and finds four brands. Which one is the BEST buy?
Find the unit cost for each one. Brand A = 2.5/20 = .13
Brand B = 3.25/35 = .09
Brand C = 5.25/50 = .11
Brand D = 10/100 = .10.
Since Brand B has the lowest cost per bandaid it is the best deal.
There are 35 students in Zack’s class. Out of the 35, 16 prefer chocolate ice cream to vanilla (46%), while 9 prefer vanilla to chocolate (26%). What does this mean?
A) 46% of the students do not like vanilla ice cream.
B) 26% of the students do not like chocolate ice cream.
C) 46% of the students do not like chocolate ice cream.
D) 46% of the students like chocolate ice cream better than they like vanilla ice cream.
D) 46% of the class likes chocolate ice cream better than they like vanilla ice cream. You would need additional information to reach the conclusions in the other answer choices.
A tree is 4 meters tall. About how tall is the tree in feet (ft)? (1 meter is approximately 39 inches.)
The correct answer is 13.0 feet .
Multiply the meters by inches and then divide by 12 to find the number of the feet. 4(39) = 156; 156/12 = 13 ft.
Eric plans to rent a car for a day from Easy Car Rental. He has a coupon for 25% off the daily base rate of $40. He will also have to pay an additional $0.15 for each mile he drives. Which expression represents the situation? (m represents the number of miles)
30 + 0.15m
base rate = 40(1 − 0.25) = 40(0.75) = 30
per mile = 0.15m
thus, 30 + 0.15m