Word Problems
There are 20 animals in the barn. Some are chickens and some are donkeys. There are 110 legs in all. How many of each animal are there?
c + d = 20
2c + 4d = 110
What is 5 chickens and 15 donkeys?
84 students went on a field trip. They took a total of 16 vehicles, some were cars others were vans. Each car holds 4 students and each van holds 9 students. How many cars and vans did they take?
c + v = 16
4c + 9v = 84
What is 12 cars and 4 vans?
The solution to the system x + y = 2
y = 3
What is (-1,3) ?
The solution to the system x + 5y = 12
-x +y = 0
What is (2,2) ?
Find the value of two numbers if their sum is 12 and their difference is 4.
x + y = 12
x - y = 4
What is (8,4) ?
The length of a rectangle is equal to triple the width. The perimeter is 88 cm. Find the length and width.
2w + 2l = 88
l = 3w
What is L=33 cm and W=11 cm?
x = 2y + 4
10y - x = 20
What is (10,3) ?
The solution to the system -4x - 2y = -12
4x + 8y = -24
What is (6,-6)?
John went to Yellow Stone National Park one day this summer. All of the people at the park were either hiking or bike riding. There were 178 more hikers than bike riders. If there were a total of 676 people at the park, how many were hiking and how many were riding their bikes?
h + b = 676
h = b + 178
What is 427 hikers and 249 bikers ?
75 fans attended a soccer game. The number of United fans was 90 less than 4 times the number of the Galaxy fans. Find the number of fans for each team.
u + g = 75
u = 4g - 90
What is 42 United fans and 33 Galaxy fans ?
The solution to the system y = 3x - 11
-2x - 3y = 11
What is (2,-5) ?
The solution to the system 7x + 3y = 9
-10x - 3y = -18
What is (3,-4)?
Harold had a summer lemonade stand where he sold small cups of lemonade for $1.25 and large cups for $2.50. If Harold sold a total of 155 cups of lemonade and collected a total of $265, how many cups of each type did he sell?
s + l = 155
1.25s + 2.5l = 265
What is 98 small cups and 57 large cups of lemonade?
You and a friend go to Taco bell. You order three soft tacos and three burritos for $11.25. Your friend orders four soft tacos and two burritos for $10.00. How much do soft tacos and burritos cost?
3t + 3b = 11.25
2t + 2b = 10
What is Tacos for $1.25 and Burritos $2.50?
The solution to the system -3x + 3y = 4
-x + y = 3
What is no solution?
The solution to the system -4x + 9y = 9
x = 3y - 6
What is (9,5)?
Bob's dad, d, is 6 years older than his mom, m. If you add Bob's parents' ages together, they are 112 years old. How old are Bob's mom and dad?
d + m = 112
d = m + 6
What is mom is 53 and dad is 59?
A bouquet of lilies and tulips has 12 flowers. Lilies cost $2 each and tulips cost $3 each. The bouquet costs $28. How many lilies l and tulips t are there in the bouquet?
l + t = 12
2l + 3t = 28
What is Lilies= 8 and Tulips = 4?
The solution to the system -5x - 8y = 17
2x - 7y = -17
What is (-5,1) ?
The solution to the system 2x + 8y = 6
-5x - 20y = -15
What is infinite number of solutions?