Transcript Abstract Pikes - Roselle Borough Public Schools

REAL-WORLD PROBLEMS
Solving Equations with Variables on Both Sides
Created by Mrs. Garay
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Page 1
Business Application
Happy Paws charges a flat fee of $19.00 plus $1.50
per hour to keep a dog during the day. A rival
service, Woof Watchers, charges a flat fee of $15.00
plus $2.75 per hour. Find the number of hours for
which you would pay the same total fee to both
services.
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Page 2
Fitness Application
Cynthia runs the same distance every day. On
Mondays, Fridays, and Saturdays, she runs 3 laps
on a running trail and then runs 5 more miles. On
Tuesdays and Thursdays, she runs 4 laps on the
trail and then runs 2.5 more miles. On Wednesdays,
she just runs laps. How many laps does she run on
Wednesdays?
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Page 3
Business Application
A long-distance phone company charges $0.027 per
minute and a $2 monthly fee. Another long-distance
phone company charges $0.035 per minute with no
monthly fee. Find the number of minutes for which
the charges for both companies would be the same.
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Page 4
Asia has a set of folding chairs. If she arranges the
chairs in 5 rows of the same length, she has 2 chairs
left over. If she arranges them in 3 rows of the same
length, she has 14 left over. How many chairs does
she have?
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Page 5
AJ’s Rentals charges $25 per hour to rent a
sailboard and a wet suit. Wendy’s Rentals charges
$20 per hour plus $15 extra for a wet suit. Find the
number of hours for which the total charges for both
companies would be the same.
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Page 6
Michael and Alanis have the same number of action
figures in their collections. Michael has 6 complete
sets plus 2 individual figures, and Alanis has 3
complete sets plus 20 individual figures. How many
figures are in a complete set?
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Page 7
The difference of four times a number
and five is the same as three more than
twice a number. Find the number.
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Page 8
Fifteen more than twice the hours Shalaya worked
last week is the same as three times the hours she
worked this week decreased by 15. She worked the
same number of hours each week. How many hours
did she work each week?
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Page 9
Forty-eight decreased by a number is
the same as the difference of four times
the number and seven. Find the
number.
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Page 10
The equation V  ⅓ Bh gives the
volume V of a pyramid, where B is the
area of the base and h is the height.
Solve this equation for B.
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Page 11
Brendan and Cheyenne earned the same amount
last week. They both work for the same hourly rate.
Brendan worked eighteen hours and had $42
deducted from his pay. Cheyenne worked fifteen
hours and had $18 deducted from her pay. What
was each person’s salary last week after
deductions?
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Page 12
The sum of five and eight times a
number is the same as fifty plus
one-half the number. Find the
number.
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Page 13
The equation P  2(l  w) gives the
perimeter P of a rectangle, where l is the
length and w is the width. Solve this
equation for w.
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Page 14
Carpet Plus installs carpet for $100 plus $8 per
square yard of carpet. Carpet World charges $75 for
installation and $10 per square yard of carpet. Find
the number of square yards of carpet for which the
cost including carpet and installation is the same.
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Page 15
One shuttle service charges $10 for pickup and
$0.10 per mile. The other shuttle service has no
pickup fee but charges $0.35 per mile. Find the
number of miles for which the cost of the shuttle
services is the same.
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Page 16
Joshua can purchase tile at one store for $0.99 per
tile, but he will have to rent a tile saw for $25. At
another store he can buy tile for $1.50 per tile and
borrow a tile saw for free. Find the number of tiles
for which the cost is the same. Round to the nearest
tile.
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Page 17
One plumber charges a fee of $75 per service call
plus $15 per hour. Another plumber has no flat
fee, but charges $25 per hour. Find the number of
hours for which the cost of the two plumbers is the
same.
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Page 18
The chart below describes three long-distance calling plans.
Round to the nearest minute. Write the correct answer.
Long-Distance Plans
Plan
Monthly Access
Fee
Charge per
minute
A
$3.95
$0.08
B
$8.95
$0.06
C
$0
$0.10
For what number of minutes per month will
plan A and plan B cost the same?
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Page 19
The chart below describes three long-distance calling plans.
Round to the nearest minute. Write the correct answer.
Long-Distance Plans
Plan
Monthly Access
Fee
Charge per
minute
A
$3.95
$0.08
B
$8.95
$0.06
C
$0
$0.10
For what number of minutes per month will plan
B and plan C cost the same?
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Page 20
The chart below describes three long-distance calling plans.
Round to the nearest minute. Write the correct answer.
Long-Distance Plans
Plan
Monthly Access
Fee
Charge per
minute
A
$3.95
$0.08
B
$8.95
$0.06
C
$0
$0.10
For what number of minutes per month will plan A
and plan C cost the same?
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Page 21