# Using Linear Equations To Solve Word Problems

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If 100 tickets were sold for \$355.00, how many tickets were adult tickets?

Solution Let "x" be the numbers of adult tickets, and let "y" be the numbers of student tickets.

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.

This one will look like this: 2*x 4*y = 60 Now we have a system of linear equations with two equations and two variables.

The only thing left to do now is to solve the system.

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.

If 4 apples and 2 oranges cost

The only thing left to do now is to solve the system.

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.

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 .

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The only thing left to do now is to solve the system.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.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.So, our problem is reduced to the solution of the linear system of two equations in two unknowns . Let us , which is multiplication and addition/subtraction method (see the lesson Solution of the linear system of two equations in two unknowns by the Elimination method). So, we just found y, the number of student tickets. Many word problems Involving unknown quantities can be translated for solving quadratic equations Methods of solving quadratic equations are discussed here in the following steps. Step II: use the conditions of the problem to establish in unknown quantities.

and 2 apples and 3 orange cost [[

The only thing left to do now is to solve the system.

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.

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 .

||

The only thing left to do now is to solve the system.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.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.So, our problem is reduced to the solution of the linear system of two equations in two unknowns . Let us , which is multiplication and addition/subtraction method (see the lesson Solution of the linear system of two equations in two unknowns by the Elimination method). So, we just found y, the number of student tickets. Many word problems Involving unknown quantities can be translated for solving quadratic equations Methods of solving quadratic equations are discussed here in the following steps. Step II: use the conditions of the problem to establish in unknown quantities.

]].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 .

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