# Using Linear Equations To Solve Word Problems You will get a single equation for y: 4*(100 - y) 2.5y = 355.

You will get a single equation for y: 4*(100 - y) 2.5y = 355.

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Now, this task gave us enough information to make two equations.

The first one is that the sum of the number of chickens (x) and the number of cows (y) is 16, since there are only 16 animals in the farmhouse.

Since the total number of rolls sold was 480, the first equation is .

Now, the total cost of x gift wraps in solid colors sold for \$4.00 per roll is equal to dollars, while the total cost of y print gift sold for \$6.00 per roll is equal to dollars.

Keep the first equation as is and multiply the second equation by two: , Subtract the second equation from the first one: , .

Now, substitute the found value of into the first equation and calculate : , , , . Check Substitute these values of and into the first and the second equations. Since the total amount of money collected was 40, the second equation is .So, we reduced our problem to the solution of the linear system of two equations in two unknowns . Open parentheses, collect common terms, and step-by-step simplify: , , , . Solution When they ask "Determine percentage of gold", they mean the ratio of the gold contents by The volume of a piece of metal is (12 in x 6 in x 4 in) = 288 cubic inches. Now, having the densities expressed in consistent units, you can write the equation.That equation should look like this: x y = 16 The second piece of information we have is that the total number of legs in the farmhouse is 60.Since we know that cows have four legs each and chickens have two legs each, we have enough information to make another equation.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.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 .00 for adults and .50 for students. 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.

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