Equations practice problems
An equation is a statement that asserts the equality of two expressions, which are connected by the equals sign =. Solving an equation containing variables consists of determining which values of the variables make the equality true. The variables for which the equation has to be solved are also called unknowns, and the values of the unknowns that satisfy the equality are called solutions of the equation.Number of problems found: 4829
- Ratio of acid and water
In a mixture of 60 litres, the ratio of acid to water is 2:1. If the ratio of acid to water is to be changed to 1:2, how much water must be added? - Simple interest pa
If a sum of money doubles in 8 years at simple interest, in how many years will it become 3 times the original amount? - Carnival
Kevin is going to a carnival that has games and rides. Each game costs $1.50 and each ride costs $3.00. Kevin spent $18 altogether, and the number of games he played is 4 times the number of rides he went on. Write a system of equations that could be used - Two sons and man
A man's age is three times the sum of the ages of his two sons. After five years, his age will be twice the sum of the ages of his two sons. Find the man's current age. - Father and son
The age of a father is 5 times the age of his son. After 10 years, the age of the father will be 3 times the age of the son. Find the present age of both of them. - Walking speeding
Susan walks from her home to work at 16 km/h and arrives 5 minutes late. If she walks at 20 km/h, she arrives 10 minutes early. Find the distance from her home to her workplace. - Amusement park.
A group of friends wants to go to the amusement park. They have $311.50 to spend on parking and admission. Parking costs $16.75, and tickets cost $32.75 per person including tax. Write and solve an equation to determine the number of people who can go to - Soccer team trip
Members of a soccer team raised $1,210.50 to go to a tournament. They rented a bus for $769.50 and budgeted $31.50 per player for meals. Using an equation or tape diagram, find the number of players the team can bring to the tournament. - Horses equation
Some men and an equal number of horses are travelling together. Half the men are riding the horses and the rest are walking alongside them. If the total number of feet on the ground is 70, how many horses are there? - Daughter and Mom A mother is seven times as old as her daughter. In 7 years' time, she will be five times as old as her daughter. How old is each of them?
- Mother and daughter 6 A mother is six times as old as her daughter. In 6 years' time, she will be four times as old as her daughter. How old is each of them?
- Alcohol mixture 3
A mixture contains alcohol and water in the ratio 4:3. If 7 litres of water are added, the ratio of alcohol to water becomes 3:4. Find the quantity of alcohol in the mixture. - Equation of the line
Find the equation of the line through (1, 2) with slope 3. - The profit 6
A man sells an article at a profit of 20%. If he had bought it at 20% less and sold it for $5 less, he would have gained 25%. Find the cost price of the article. - A train 7
A train overtakes two persons walking in the same direction as the train at speeds of 2 km/h and 4 km/h. The train passes each of them completely in 9 and 10 seconds respectively. Find the length of the train. - Two types of ore
A total of 42 tonnes of two types of ore is to be fed into a smelter. The first type contains 6% copper and the other contains 2.5% copper. Find the necessary amounts of each ore to produce 2 tonnes of copper. - The average 19 The average age of a class was 15 years. When 5 boys with an average age of 12 years and 6 months were admitted, the class average decreased by 6 months. How many students were in the class originally?
- The shadow 2
The shadow of a tower standing on level ground is found to be 40 m longer when the Sun's altitude is 30° than when it is 60°. Find the height of the tower. - Journey trip
A man performs 2/15 of his total journey by rail, 9/20 by bus, and the remaining 10 km by bicycle. What is the total length of his journey? - Goods train A goods train runs at a speed of 72 km/h and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?
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