Chapter 2 IntroduCtIon to VarIables 57deMYstiFied / algebra deMYstiFied / HuttenMuller / 000-0 / Chapter 2John has eight more nickels than Larry has.
The number of John’s nickels is being compared to the number of
Larry’s nickels, so it is easier to let x represent the number of nickels
Larry has.
Let x = the number of nickels Larry has.
x + 8 = the number of nickels John has.
A used car costs $5000 less than a new car.
Let x = the price of the new car.
x – 5000 = the price of the used car.
A box’s length is three times its width.
Let x = width (in the given units).
3 x = length (in the given units).
Jack is two-thirds as tall as Jill.
Let x = Jill’s height (in the given units).
(^23) x = Jack’s height (in the given units).
From 6 p.m. to 6 a.m. the temperature dropped 30 degrees.
Let x = temperature (in degrees) at 6 p.m.
x – 30 = temperature (in degrees) at 6 a.m.
One-eighth of an employee’s time is spent cleaning his work station.
Let x = the number of hours he is on the job.
81 x = the number of hours he spends cleaning his work station.
$10,000 was deposited between two savings accounts, Account A and
Account B.
Let x = 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
is left to be deposited in Account A.
A wire is cut into three pieces of unequal length. The shortest piece is^14 the
length of the longest piece, and the middle piece is^13 the length of the
longest piece.
Let x = length of the longest piece.
(^13) x = length of the middle piece.
(^14) x = length of the shortest piece.