Classic linear word problems
A stock goes up by 10% on Monday, goes down 5% on Tuesday. But then, the company does something stupid, so the stock goes down 80% on Wednesday. If you invested your life's savings, $1000, into this stock, how much money do you have?
$209
Little red riding hood walks to her grandma's house, which is 60 km away, at 6 km/hr. While coming back though, she meets a wolf, so she comes back at 4 km/hr. How long did she travel in total?
25 hours
If the sum of 2 numbers is 26 and their difference is 20, find their product
69
What are the 2 solutions to the equation x2 - 4 = 0
2 or -2
In what year was Issaquah founded?
1892 (Accept answers from 1872 to 1912)
Jack and Jill have been given $100 each by their parents. After Jack spends $x at a weapons store and Jill steals $x from the bank, Jill has 4 times as money as Jack. If a person gets 1 year of jail for every 10 dollars they steal, how many years of jail will Jill get for stealing the money? (Be sure to read the question!)
6 years of jail
Jack is travelling across the United States. For the first 1500 miles, he travels at 50 mi/h. But then, he entered Ohio, so he violates every speed limit law by travelling 100 mi/h for the next 500 miles (He also travels fast, because he does not want to stay in Ohio, because who actually wants to stay in Ohio?). Then, for the last 1000 mi, he travels again at 50 mi/h. What is his average speed for the entire trip?
600/11 mi/h
At the store Fruit scammer, if 2 bananas and 6 apples cost $10000 and 10 bananas and 7 apples cost $38500, how much does 1 apple and 1 banana cost
$4000
What is 1,234,5672 - 1,234,5662 ? (No calculators!)
2,469,133
The Fort Worth Zoo has a number of two-legged birds and a number of four-legged mammals. On one visit to the zoo, Margie counted 200 heads and 522 legs. How many of the animals that Margie counted were two-legged birds? (AMC 8 2012, #9)
139
The ratio of red to green marbles in a bag was initially 4:5. After 6 red marbles are added to the bag, and the number of green marbles is doubled, the new ratio of red to green marbles is 5:11. How many total marbles are in the bag now?
160
Abby and Daddy are building a house, Abby can build it alone in 100 hours, and Daddy can build it in 500 hours, because he is more lazy. How long will they take if they build the house together?
250/3 hr (83 hours and 20 min)
What is the value of n in the equations
x + 3y = 25
nx + 8y = 60
such that this system has no solutions?
8/3
The length of a rectangle is 5 more than its width. If the area of the rectangle is 126, find the perimeter of the rectangle.
46
Find the average value of the solutions of the equation x2 - 5x - 7 = 0
2.5
I have 5 L of a 50% acid solution, and x L of a 20% acid solution. If I mix the content of the containers, I get a 25% acid solution. What is the value of x?
25 L
If p woodchucks can chuck q kg of wood in r hours, how long does it take s woodchucks to chuck t kg of wood, if a woodchuck can chuck wood
qst/pr
John, Carla and Sally are playing a game. They each think of 1 number, and multiply their numbers, 2 at a time. The product of John's and Carla's numbers is 210, the product of John's and Sally's numbers is 399 and the product of Carla's and Sally's numbers is 190. Find the sum of the 3 numbers
50
Find the sum of all values of x that satisfy xy + 3x + 3y = 0, given that x and y are integers
Sarah pours 4 ounces of coffee into a cup that can hold 8 ounces. Then she pours 4 ounces of cream into a second cup that can also hold 8 ounces. She then pours half of the contents of the first cup into the second cup, completely mixes the contents of the second cup, then pours half of the contents of the second cup back into the first cup. What fraction of the contents in the first cup is cream? (AMC 10 2002A, #17)
2/5
Two jars each contain the same number of marbles, and every marble is either blue or green. In Jar 1 the ratio of blue to green marbles is 9:1, and the ratio of blue to green marbles in Jar 2 is 8:1. There are 95 green marbles in all. How many more blue marbles are in Jar 1 than in Jar 2? (AMC 10B 2019, #11)
5
Yan is somewhere between his home and the stadium. To get to the stadium he can walk directly to the stadium, or else he can walk home and then ride his bicycle to the stadium. He rides 7 times as fast as he walks, and both choices require the same amount of time. What is the ratio of Yan's distance from his home to his distance from the stadium? (AMC 10 2007A, #13)
3/4
Solve the system of equations for x and y
(x + 2y)/xy = 11/12
(2x - 3y)/xy = 2/3
x = 6; y = 12/7
There are 2 values of a for which the equation 4x2 + ax + 8x + 9 = 0 has only one solution for x. Find the sum of values of a. (AMC 10A 2005, #10)
-16
Abe can paint the room in 15 hours, Bea can paint 50 percent faster than Abe, and Coe can paint twice as fast as Abe. Abe begins to paint the room and works alone for the first hour and a half. Then Bea joins Abe, and they work together until half the room is painted. Then Coe joins Abe and Bea, and they work together until the entire room is painted. Find the number of minutes after Abe begins for the three of them to finish painting the room. (2014 AIME II, #1)
334 min