WorksheetsTranslating System of Equations Word Problems
Total questions: 20
Worksheet time: 20mins
Last season two cats in the neighborhood caught a combined total of 1550 mice. One caught 4 times as many mice as the other. Let x and y represent the number of mice each individual cat caught. Which system of equations could be used?
x + y = 1550
y = 4x
x + y = 1550
y = x + 4
y - x = 1550
y = 4x
y = 1550 + x
y = x + 4
A cat lover, Justin, is planning to build a new cat house. The carpenter says that if he pays $100 now, his monthly payments will be $25 and his total cost will be $600. Which equation can be used to determine how many months Justin will be paying for his cat house?
25x + 100 = 600
25x - 100 = 600
600 - 100x = 25
600 + 25x = 100
Catherine finds that she can groom 3 cats and dye 2 cats' fur in 315 minutes. Grooming 2 cats and dyeing 4 cats' fur takes 450 minutes. Which system of equations represents the situation?
3x + 2y = 315
2x + 4y = 450
3x + 2y = 450
2x + 4y = 315
2x + 2y = 315
3x + 4y = 450
On Monday, Cat Lady bought 10 cans of cat food and 5 cat toys for her cats at the cost of $16.50. It turns out that the cat toys were more popular than the cat food. On Tuesday, she bought 5 cans of cat food and 10 cat toys for a total of $14.25. Which equations could be used to determine the cost of the cat food?
10f + 5t = 14.25
5f + 10t = 16.50
10f + 5t = 16.50
5f + 10t = 14.25
f + t = 10
5f + 10t = 16.50
f + t = 5
5f + 10t = 16.50
A cat named Caitlin found a bag full of fish! She has 49 fish in all. She counts 1430 scales. There are twenty scale fish and fifty scale fish. How many of each type of fish does Caitlin have? Which system best represents the situation?
x + y = 1430
20x + 50y = 49
x + y = 49
10x + 5y = 1430
x + y = 49
20x + 50y = 1430
x + y = 49
x + y = 1430
At a local pet store, Carla purchased a cat toy and a cat bed that cost a total of $54, not including tax. If the price of the cat toy, t, is $8 more than 3 times the price of the cat bed, n, which system of linear equations could be used to determine the price of each item?
t + n = 54
t = 3n + 8
t + n = 54
n = 3t + 8
t + n = 54
t = 3n - 8
t + n = 8
t = 3n + 54
Whiskers is 3 years younger than twice Mittens' age. Their ages combined are 33 years. How old are Whiskers and Mittens. If x=Whiskers' age and y=Mittens' age, choose the system that matches the situation.
x + y = 33
y = 2x - 3
x + y = 33
x = 2y - 3
x + y = 33
x = 3 - 2y
x + y = 3
x = 33 - 2y
Tommy the cat is 4 years older than twice Kitty's age. The sum of Tommy and Kitty's age is 48. If x=Tommy's age and y = Kitty's age, which system describes the situation above?
x + 2y = 48
y + 4 = x
x + y = 48
x = 2y + 4
x + y = 48
y = 2x + 5
x + 2y = 4
x + 4 = y
Tomcat is 5 years older than three times Kitty's age. The total of their ages is 44 years. If x=Tomcat's age and y=Kitty's age, which system describes the situation above?
x + y = 44
x = 3y + 5
x + y = 44
y = 3x + 5
x + y = 44
x = 5y + 3
x + y = 44
y = 5x + 3
At a local pet store, John bought a cat tree and a cat bed that cost a total of $64, not including tax. If the price of the cat tree, t, is $10 more than 2 times the price of the cat bed, n, which system of linear equations could be used to determine the price of each item?
t + n = 64
t = 2n + 10
t + n = 64
n = 2t + 10
t + n = 64
t = 2n - 10
t + n = 10
t = 2n + 64
At a local pet store, Mary purchased a cat tree and a cat bed that cost a total of $74, not including tax. If the price of the cat tree, t, is $12 more than 2 times the price of the cat bed, n, which system of linear equations could be used to determine the price of each item?
t + n = 74
t = 2n + 12
t + n = 74
n = 2t + 12
t + n = 74
t = 2n - 12
t + n = 12
t = 2n + 74
Translate the statement into an equation:
Five less than the number of cats in a room is 6
n - 5 = 6
5 - n = 6
After paying $5.12 for a salad, Daxton has $27.10. How much money did he have before buying the salad? (What is the unknown and what would be the equation?)
n=amount of $ he had at 1st; n + $5.12 = $27.10
n=cost of the salad; n - $5.12 = $27.10
n=amount of $ he had at 1st; n - $5.12 = $27.10
n=amount of $ he had at 1st; $5.12 - n = $27.10
Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?
x + y = 1550
y = 4x
x + y = 1550
y = x + 4
y - x = 1550
y = 4x
y = 1550 + x
y = x + 4
On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?
10c + 5d = 14.25
5c + 10d = 16.50
10c + 5d = 16.50
5c + 10d = 14.25
c + d = 10
5c + 10d = 16.50
c + d = 5
5c + 10d = 16.50
Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular. One night, the theater sells 578 tickets and collects $3365 in total ticket sales.
Which system best represents the situation?
4x + 7y = 578
x + y = 3365
4x + 7y = 3365
x + y = 578
4y + 7x = 578
x + y = 3365
4y + 7x = 3365
x + y = 578
Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner (x) for $14.80, and some order steak (y) for $17. If the total bill was $91, which system best represents the situation?
x + y = 6
14.80x + 17y = 91
x + y = 91
14.80x + 17y = 6
x + y = 6
14.80y + 17x = 91
x + y = 91
14.80x + 17y = 6
Caitlin won a bag full of money! She has 49 bills in all. She counts $1430. There are twenty dollar bills and fifty dollar bills. How many of each bill does Caitlin have? Which system best represents the situation?
x + y = 1430
20x + 50y = 49
x + y = 49
10x + 5y = 1430
x + y = 49
20x + 50y = 1430
x + y = 49
x + y = 1430
There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Which system of equations represents the situation?
x + y = 15
4x + 2y = 44
4x + 2y = 15
x + y = 44
x = 2y + 44
4x = y + 15
2x - 4y = 44
x - y = 15
Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?
4x + 6y = 3
13.5x - 13y = 6
x + y = 4
x - y = 6
4x + 6y = 13
3x + 7y = 13.5
4x - 6y = 13
3x - 7y = 13.5
