Ratio Word Problems
The ratio of apples to oranges in a fruit basket is 3:2.
If there are 12 apples, how many oranges are there?
8
A graph passes through the points (2, 5) and (6, 15). Is this a proportional relationship? If so, what is the constant of proportionality? If not, then why?
No, the graph doesn't pass through the origin
A decade ago, the average class size at Richmond Middle School was 30 students. Now it is 24 students. What is the percent of decrease in the average class size?
20%
A student estimates that a pencil is 8 inches long, but its actual length is 10 inches.What is the percent of error in the student’s estimate?
20%
Dalton has $40 in an account that earns 10% simple interest. To the nearest dollar, how much interest will he earn in 1 year?
$4
If there are 12 dogs and 3 cats in the pet store, what is the ratio of dogs to cats in the store in a simplified ratio?
4:1
Two quantities x and y have a proportional relationship. If y = kx, and k doubles while x stays the same, what happens to y?
It doubles
In the past, Jamal got paid $113,700 annually. Since switching to a new career, he has been making $213,756 annually. What was the percent of increase in Jamal's pay? round to the nearest tenth place. *Calculators are allowed*
88%
Riley estimated that a dog weighed 45 pounds, but the actual weight was 50 pounds. He calculated the percent of error as:
50 - 45/45x100 = 11.1%.What is Riley’s error?
Find the correct percentage of error
Riley incorrectly used the estimate in the denominator. The correct formula uses the actual value.
50 - 45/50x100 = 10%
Edgar has $30 in an account that earns 5% simple interest annually. To the nearest cent, how much interest will he earn in 2 years? *Calculators are allowed*
$3.00
Jen rode her bike 1/5 of a mile to her friend's house. It took her 5 minutes to get there. What was Jen's speed? Write your answer in terms of miles/minute
1/25
A student claims the relationship in the table is proportional.
X: Y
4 6
8 12
10 16
No, the constant of proportionality changes
The PTA at Summerfield High School is having its annual dinner and auction to raise money for music and art programs. Last year, the event raised $20,560. This year, it raised 70% more than that. How much was raised this year? Round to the nearest hundredth place. *Calculators are allowed*
$34,952
Estimate A: 48. Actual: 40.
Estimate B: 32 . Actual: 40
Is estimate A greater, lesser, or equal to estimate B?
Both have the same percent of error
Lena puts $1,000 into a savings account that earns 5% simple interest per year. How much money will she have after 2 years? Calculators are allowed
$1100.00
At a school science fair, the ratio of students to teachers is 5:2. If there are 56 people in total at the science fair, how many of them are students?
40 students
Water flows from a pipe at a constant rate. It takes 7.5 minutes to fill 6 liters. At this rate, how many seconds does it take to fill 1 liter?
90
A family spends $60 on dinner. The restaurant charges 8% sales tax, and the family tips 20% of the total bill, including tax. Calculators are allowed. What is the total amount they tipped?
The total tip is $12.96
A student estimated that a car travels 180 miles on 6 gallons of gas, but the actual mileage is 30 miles per gallon. Did the student overestimate, underestimate, or correctly estimate, and what is the percent of error?
The student correctly estimated and the percent of error was 0%
Jamal invests $500 in an account with an annual simple interest rate of 6%.
How much will be in the account after 3 years? Calculators are allowed.
$590.00
At a school play, the ratio of students to adults in the audience is 5:3. If there are 64 more students than adults, how many people are in the audience altogether?
256 people
Two quantities are proportional. If (3, 9) is on the graph of the relationship, which of the following points could NOT also be on the graph?A) (6, 18).B) (1, 3).C) (2, 5).D) (9, 27)
C) (2,5)
The average serving size of beef at restaurants is currently 7 ounces, which is 75% larger than it was several years ago. What was the previous average serving size? *Calculators are allowed
4 ounces
Ella estimated the price of a jacket to be 20% higher than its actual price. If her estimated price was $90, what was the actual cost?
$75
Emily deposits $2,000 into a bank account that earns 4% simple interest annually. How much will she have in her account after 5 years?
(Round your answer to the nearest cent.) Calculators are allowed.
$2400.00