# Using Linear Equations To Solve Word Problems

If 100 tickets were sold for 5.00, how many tickets were adult tickets?

If 100 tickets were sold for 5.00, how many tickets were adult tickets? Solution Let "x" be the numbers of adult tickets, and let "y" be the numbers of student tickets. Now, this task gave us enough information to make two equations.

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You have for the first equation left side, and for the second equation left side. Each apple costs 20 cents and each orange costs 10 cents.

Tickets are sold at \$4.00 for adults and \$2.50 for students.

In this lesson we present some typical word problems and show how to solve them using linear systems of two equations in two unknowns.

The Madison Local High School marching band sold gift wrap to earn money for a band trip to Orlando, Florida.

Step III: Use the equations to establish one quadratic equation in one unknown.

Step IV: Solve this equation to obtain the value of the unknown in the set to which it belongs.x = -5 does not satisfy the conditions of the problem length or breadth can never be negative. In solving a problem, each root of the quadratic equation is to be verified whether it satisfies the conditions of the given problem. If 4 apples and 2 oranges cost

Step IV: Solve this equation to obtain the value of the unknown in the set to which it belongs.x = -5 does not satisfy the conditions of the problem length or breadth can never be negative. In solving a problem, each root of the quadratic equation is to be verified whether it satisfies the conditions of the given problem.

If 4 apples and 2 oranges cost \$1 and 2 apples and 3 orange cost \$0.70, how much does each apple and each orange cost? Solution Let be the unknown price for one apple as cents and be the unknown price for one orange as cents.

From the first condition you have the equation , while from the second problem condition you have another equation .

Example 1: First, to make the calculations clearer, we will choose symbols to represent the number of cows and the number of chickens.

Let us say that the chickens will be represented with x and the cows with y.

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Step IV: Solve this equation to obtain the value of the unknown in the set to which it belongs.x = -5 does not satisfy the conditions of the problem length or breadth can never be negative. In solving a problem, each root of the quadratic equation is to be verified whether it satisfies the conditions of the given problem. If 4 apples and 2 oranges cost \$1 and 2 apples and 3 orange cost \$0.70, how much does each apple and each orange cost? Solution Let be the unknown price for one apple as cents and be the unknown price for one orange as cents. From the first condition you have the equation , while from the second problem condition you have another equation . Example 1: First, to make the calculations clearer, we will choose symbols to represent the number of cows and the number of chickens.Let us say that the chickens will be represented with x and the cows with y.You will get a single equation for y: 4*(100 - y) 2.5y = 355. Simplify and solve it: 400 - 4y 2.5y = 355, or -1.5y = 355 - 400, -1.5y = -45, y = = 30. When it comes to using linear systems to solve word problems, the biggest problem is recognizing the important elements and setting up the equations.Once you do that, these linear systems are solvable just like other . The best way to get a grip around these kinds of word problems is through practice, so we will solve a few examples here to get you accustomed to finding elements of linear systems inside of word problems.The gift wrap in solid colors sold for \$4.00 per roll, and the print gift wrap sold for \$6.00 per roll.The total number of rolls sold was 480, and the total amount of money collected was \$2340.

and 2 apples and 3 orange cost [[

Step IV: Solve this equation to obtain the value of the unknown in the set to which it belongs.x = -5 does not satisfy the conditions of the problem length or breadth can never be negative. In solving a problem, each root of the quadratic equation is to be verified whether it satisfies the conditions of the given problem.

If 4 apples and 2 oranges cost \$1 and 2 apples and 3 orange cost \$0.70, how much does each apple and each orange cost? Solution Let be the unknown price for one apple as cents and be the unknown price for one orange as cents.

From the first condition you have the equation , while from the second problem condition you have another equation .

Example 1: First, to make the calculations clearer, we will choose symbols to represent the number of cows and the number of chickens.

Let us say that the chickens will be represented with x and the cows with y.

||

Step IV: Solve this equation to obtain the value of the unknown in the set to which it belongs.x = -5 does not satisfy the conditions of the problem length or breadth can never be negative. In solving a problem, each root of the quadratic equation is to be verified whether it satisfies the conditions of the given problem. If 4 apples and 2 oranges cost \$1 and 2 apples and 3 orange cost \$0.70, how much does each apple and each orange cost? Solution Let be the unknown price for one apple as cents and be the unknown price for one orange as cents. From the first condition you have the equation , while from the second problem condition you have another equation . Example 1: First, to make the calculations clearer, we will choose symbols to represent the number of cows and the number of chickens.Let us say that the chickens will be represented with x and the cows with y.You will get a single equation for y: 4*(100 - y) 2.5y = 355. Simplify and solve it: 400 - 4y 2.5y = 355, or -1.5y = 355 - 400, -1.5y = -45, y = = 30. When it comes to using linear systems to solve word problems, the biggest problem is recognizing the important elements and setting up the equations.Once you do that, these linear systems are solvable just like other . The best way to get a grip around these kinds of word problems is through practice, so we will solve a few examples here to get you accustomed to finding elements of linear systems inside of word problems.The gift wrap in solid colors sold for \$4.00 per roll, and the print gift wrap sold for \$6.00 per roll.The total number of rolls sold was 480, and the total amount of money collected was \$2340.

]].70, how much does each apple and each orange cost? Solution Let be the unknown price for one apple as cents and be the unknown price for one orange as cents. From the first condition you have the equation , while from the second problem condition you have another equation . Example 1: First, to make the calculations clearer, we will choose symbols to represent the number of cows and the number of chickens.Let us say that the chickens will be represented with x and the cows with y.You will get a single equation for y: 4*(100 - y) 2.5y = 355. Simplify and solve it: 400 - 4y 2.5y = 355, or -1.5y = 355 - 400, -1.5y = -45, y = = 30. When it comes to using linear systems to solve word problems, the biggest problem is recognizing the important elements and setting up the equations.Once you do that, these linear systems are solvable just like other . The best way to get a grip around these kinds of word problems is through practice, so we will solve a few examples here to get you accustomed to finding elements of linear systems inside of word problems.The gift wrap in solid colors sold for .00 per roll, and the print gift wrap sold for .00 per roll.The total number of rolls sold was 480, and the total amount of money collected was 40.

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