The difference between two numbers is 96. One number is 9 times the other. What are the numbers? Let x be the first number Let y be the second...
A dog and a cat together cost $100. If the price of the dogs $90 more than the cat, what is the cost of the cat? Set up givens and equations Let...
Jason has an equal number of nickels and dimes. The total value of his nickels and dimes is $2.25. How many nickels does Jason have? Let the...
Luke and Dan's total debt is $72. If Luke's debt is three times Dan's debt, what is Dan's debt? Let Dan's debt be d. Let Luke's debt be l....
The price of a cheap backpack is $15 less than an expensive backpack. When Emily bought both, she paid $75. What is the cost of the cheap...
Jane is twice a old as Joel. If their ages total 63, how old is Joel? Joel = j Jane = 2j j + 2j = 63 3j = 63 Divide each side by 3: 3j/3 = 63/j...
Stanley bought a ruler and a yardstick for $1.25. If the yardstick cost 45 cents more than the ruler, what was the cost of the yardstick? Let r...
Laura weighs 45 pounds more than her pet dog. When they are on the scale together, they weigh 85 pounds. How much does Laura weigh? Let Laura...
two numbers have an average of 2100 and one number is $425 more than the other number. What are the numbers Let the first number be x and the...
A 100 point test contains a total of 20 questions. The multiple choice questions are worth 3 points each and short response questions are worth 8...
Length (l) is the same as width (w) and their product is 64. We're given 2 equations: lw = 64 l = w Substitute equation (2) into equation (1):...
2 baseball players hit 60 home runs combined last season. The first player hit 3 more home runs than twice a number of home runs the second player...
Kiko is now 6 times as old as his sister. In 6 years, he will be 3 times as old as his sister. What is their present age? Let k be Kiko's present...
A 98-inch piece of wire must be cut into two pieces. One piece must be 10 inches shorter than the other. How long should the pieces be? The key...
The volleyball team and the wrestling team at Clarksville High School are having a joint car wash today, and they are splitting the revenues. The...
Nancy is 10 years less than 3 times her daughters age. If Nancy is 41 years old, how old is her daughter? Declare variables for each age: Let...
larger of 2 numbers is 12 more than the smaller number. if the sum of the 2 numbers is 74 find the 2 numbers Declare Variables for each number:...
A man purchased 20 tickets for a total of $225. The tickets cost $15 for adults and $10 for children. What was the cost of each ticket? Declare...
a son is 1/4 of his fathers age. the difference in their ages is 30. what is the fathers age. Declare variables: Let f be the father's age Let s...
larger of 2 numbers is 4 more than the smaller. the sum of the 2 is 40. what is the larger number? Declare variables for the 2 numbers: Let l be...
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