High institution Math help » Pre-Algebra » Algebraic Equations » indigenous Problems and also Algebraic Equations » how to do word problems where two amounts are unknown

A farmer has

units of fence. If he uses this to build a square fence, what will certainly be the area enclosed by the fence?

Explanation:

Since we room looking in ~ a square, the formula because that the area of a square is

.

You are watching: Which quantities are known and which are unknown?

Therefore we need to recognize the size of every side.

Since this is a square fence, then each the the four sides will be equal.

The quantity of fence the the farmer has actually in the difficulty will end up being the perimeter of ours square.

Since

when working through a square, because that this problem
.

Plug that right into our original equation.

Rosie, Eileen and Sasha bespeak a pizza. That is divided into

slices. Eileen eats
slice. Roseanne eats twice as plenty of slices together Sasha.

Explanation:

Since the pizza began as

slices and there are currently
slices remaining, a total of
slices were eaten (because
). The the
eaten pieces, the is proclaimed that
slice was eaten by Eileen. This means a total of
slices were consumed by Roseanne and also Sasha combined. To discover exactly how plenty of slices Sasha ate, usage the reality that Roseanne ate double as plenty of slices together Sasha. Write and solve because that
in the adhering to equation, where
is the variety of slices Sasha ate. Keep in mind that
stands for the variety of slices Roseanne ate, because she ate twice as numerous slices together Sasha.

slices

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Example concern #1 : how To carry out Word troubles Where Two quantities Are Unknown

A helicopter flies versus the wind native city A to city B in 5 hours. The very same helicopter returns from city B to city A, in the very same direction together the wind, in 4 hours. Uncover the proportion of the speed of the helicopter come the rate of the wind.

10

8

11

9

7

9

Explanation:

First, let

= speed of the helicopter,
= rate of the wind, and also
= distance between city A and city B. Next, uncover the ratio of
to
. Traveling against the wind:
. Traveling through the wind:
. Finally, set the equations same to one another:
.

Simplify the equation:

.

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Example inquiry #4 : just how To perform Word difficulties Where Two quantities Are Unknown

Michael has

red shirt and
blue shirts, such that the ratio is
red shirts because that every
blue shirts. What is the minimum variety of shirts he deserve to have?

There is insufficient information to answer the question.

Explanation:

It yes, really doesn"t issue what

and
are. What matters is the ratio offered to us,
red:
blue. Let"s assume that he have the right to only have totality shirts. That method that the minimum number of red shirts he can have is
, and also the minimum variety of blue is
, giving us a full of
.

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Example inquiry #5 : just how To execute Word troubles Where Two quantities Are Unknown

Two cars leaving a city in ~ the very same time. One heads east at

and the various other heads west in ~
. How much apart space they after
hours?

Explanation:

Remember,

. If us look in ~ the car going east, this would certainly mean:

If us look at the automobile going west, then:

Therefore, we need to add the two ranges to discover the complete distance between them.

See more: Chapter 8 Lord Of The Flies Questions, Lord Of The Flies Chapter 8 Quiz

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