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Joe drove 450 miles in 6 hours; what is his rate?
75 miles per hour
Dan is 68 years old. He is twelve years younger than five times his son’s age. How old is Dan’s son?
18 years old
The sum of twice a number and –6 is 9 more than the opposite of the number. What is the number?
Number is 5
Determine three consecutive integers, such that one-half of their sum is 7 less than the greatest.
-13, -11, -9
Liz is 20 years old. She is eight years older than three-fifths of Lexi’s age. How old is Lexi?
20 years old
A rectangle has a 48cm perimeter. If its length and width are consecutive odd integers, what are the dimensions of the rectangle?
11cm and 13cm
A submarine traveling 64m below sea level dove 37m, dove another 28m, then rose 70m. What is its new depth?
59m below sea level
Roger spent $40 on a baseball mitt and ball. If the mitt cost $2 less than 5 times the cost of the ball, what is the cost of each?
Ball: $7, Mitt: $33
The home team scored 50 points more than half the number scored by the visitors. Their scores totaled 194 points. Which team won? By how many points?
Home Team won by 2 points
The length of a rectangle is one inch more than twice the width. If the perimeter is 98 inches, find the dimensions of the rectangle.
Width: 16in
Length: 33in
Find four consecutive odd integers such that twice the smallest plus five times the largest is 275.
35, 37, 39, 41
Rana has $125 in $5 bills and $10 bills. If she has four more $5 bills than $10 bills, how many of each does she have?
7 $10 bills & 11 $5 bills
Nate has a pile of quarters and nickels valued at $4.50. If he has six more quarters than nickels, how many of each coin does Nate have in his pile?
10 nickels and 16 quarters
The sides of a scalene triangle are in the ratio 3:4:5. If the perimeter of the triangle is 2412 feet, what is the length of the largest side?
1,005 feet
Determine three consecutive integers such that three times the smallest is equal to the middle number increased by the greatest number.
3, 4, 5
Annie, Brian, and Cody are cousins. Brian is three years older than Annie. Cody is nine years older than Annie. If the sum of their ages is 57, what is each of their ages?
Annie is 15, Brian is 18, Cody is 24
The total cost of a sandwich, a glass of milk, and an apple is $2.35. What was the price of each, if the sandwich cost twice as much as the milk and the apple cost 90 cents less than the sandwich?
Milk: 65 cents
Sandwich: $1.30
Apple: 40 cents
Mac is eight years younger than Cheese. The sum of their ages is seven years less than thrice Mac’s age. What are their ages?
Cheese is 23, Mac is 15
Alice bought 12 apples and oranges altogether for $2.51. If an apple costs 25 cents and an orange costs 18 cents, how many of each did she buy?
5 apples & 7 oranges
Two buses leave Toledo at the same time and travel in opposite directions. One bus averages 45 mi/h and the other bus averages 55 mi/h. After how many hours will the buses be 500 mi apart?
After 5 hours
The sum of three numbers is 301. The second number is 3 less than twelve times the first number. The third number is 4 more than seven times the first number. Find the three numbers.
First #: 15
Second #: 177
Third #: 109
Mia went to town by car, traveling at 60 mph. She walked home at a rate of 6 mph. Her total travel time was 2.75 hours. How far did she travel?
15 miles
Kevin is 6 years younger than Rose. Five years ago, Rose’s age was 14 years less than twice Kevin’s age. Find their current ages.
Rose is 31, Kevin is 25
At 3:00 P.M. Mark left Pittsburgh and drove toward Cleveland, 208 km away. At 3:30 Carole left Cleveland for Pittsburgh driving 2 km/h slower than Mark. If they pass each other at 4:30, how fast were they each driving?
Mark: 84 miles per hour
Carole: 82 miles per hour
Macy’s piggy bank contains 44 coins (nickels, dimes and quarters). There are twice as many dimes as nickels and 8 fewer nickels than quarters. How much money is in her piggy bank?
$6.50