Often the equations used to solve word problems should have only one variable, and other unknowns must be written in terms of one variable. The goal of this section is to get you acquainted with setting your variable equal to an appropriate unknown quantity, and writing other unknown quantities in terms of the variable.
Practice
1. Tony is three years older than Marie.
Marie’s age = ________
Tony’s age = ________
2. Sandie is three-fourths as tall as Mona.
Mona’s height (in the given unit of measure) = ________
Sandie’s height
(in the given unit of measure) = ________
3. A boutique is selling a sweater for three-fourths off
retail.
Retail selling price = ________
Sale price = ________
4. A string is cut into three pieces of unequal length. The
shortest piece is 1/5 as long as the longest piece. The
mid-length piece is ½ the length of the longest piece.
Length of the longest piece (in the given units) = ________
Length of the shortest piece (in the given units) = ________
Length of the
mid-length piece (in the given units) = ________
Solutions
1. Marie’s age = x
Tony’s age = x + 3
2. Mona’s height (in the given unit of measure) = x
Sandie’s height
(in the given unit of measure) = 3/5 x
3. Retail selling price = x
Sale price 
4. Length of the longest piece (in the given units) = x
Length of the shortest piece (in the given units) = 1/5
x
Length of the
mid-length piece (in the given units) = 1/2 x
Sumber
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