Solving Word Problems With Equations Of One Degree And One Unknown Worksheet With Answers Page 11
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202. A glucose solution contains 15 grams of glucose per 100 cubic centimeters of
solution. If 45 cubic centimeters of the solution were poured into an empty container,
how many grams of glucose would be in the container?
a) 3.00
b) 5.00
c) 5.50
6.50
d)
6.75
e)
Answer E
3. If 3 pounds of dried apricots that cost X dollars per pound are mixed with 2 pounds of
prunes that cost Y dollars per pound, what is the cost, in dollars, per pound of the
mixture?
a) (3X+2Y)/(X+Y)
b) (3X+2Y)/5
c) (X+Y )/5
d) 5(3X + 2Y)
3X + 2Y
Answer B
e)
f)
WORK PROBLEMS
Note: These problems depend on a formula:
Rate Of Work * Time Worked = Amount Done.
The amount of work is expressed as a part (fraction or decimal) of the whole job, where
the whole job is represented by the number 1 (the whole thing 100% = 1). The rate of
work is usually given in a hidden way. Rate will always be expressed as “so much of the
job per a certain amount of time.”
Examples of the language used are:
“ A person can do a job in 3 hours”; this means the rate of work is “1/3 of the
!
job per hour”.
If you can paint a room in 2 hours, your rate of work is ½ of the job per hour.
!
If a machine can sort 6000 cards in an hour, that IS the rate: “6000 cards per
!
hour”.
You realize, of course, that both people and machines can do work.
EXAMPLE
1. If you and a man can build, in 20 days, a house that would take the man 30 days to
build alone, how long would it take you to build the house alone? (Assume you know
how!)
Read the above carefully.
!
Identify that this is a work problem.
!
The chart for organizing work problems looks like this
!
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