Page 62 - MarceAlgebra Demystified

CHAPTER 2 Introduction to Variables 49

Let x ¼ the price of the new car.

x 5000 ¼ the price of the used car

A box’s length is three times its width.

Let x ¼ width (in the given units).

3x ¼ length (in the given units)

Jack is two-thirds as tall as Jill.

Let x ¼ Jill’s height (in the given units).

2 x ¼ Jack’s height (in the given units)
3
From 6 pm to 6 am the temperature dropped 30 degrees.

Let x = temperature (in degrees) at 6 pm.

x 30 ¼ temperature (in degrees) at 6 am

One-eighth of an employee’s time is spent cleaning his work station.

Let x ¼ the number of hours he is on the job.

1 x ¼ the number of hours he spends cleaning his work station
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$10,000 was deposited between two savings accounts, Account A and
Account B.

Let x ¼ amount deposited in Account A.

How much is left to represent the amount invested in Account B? If x
dollars is taken from $10,000, then it must be that 10,000 x dollars is
left to be deposited in Account B.

Or if x represents the amount deposited in Account B, then 10,000 x
dollars is left to be deposited in Account A.

A wire is cut into three pieces of unequal length. The shortest piece is
1
1 the length of the longest piece, and the middle piece is the length of
4 3
the longest piece.