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Algebra Problems

1.Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for the specified variable and please show your work.

A plane flies 400 miles with the wind and 300 miles against the wind in the same length of time. If the speed of the wind is 22 mph, what is the speed of the plane in still air?

2.Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for the specified variable and please show your work.

Jill is 11 kilometers away from Joe. Both begin to walk toward each other at the same time. Jill walks at 2.5 km/h. They meet in 2 hours. How fast is Joe walking?

3.Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for the specified variable and please show your work.

How many liters of a 40%-alcohol solution must be mixed with 10 liters of a solution that is 80% alcohol to get a solution that is 60% alcohol?

Solution Preview

Hi,

1. We have two equations. We know that t = d/v, so we have:
t = 400/(x+22)
t = 300/(x-22)

Using substitution, we ...

Solution Summary

This posting contains solution to the given problems.

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