REAL-WORLD PROBLEMS Solving Equations with Variables on Both Sides Created by Mrs. Garay Free Powerpoint Templates 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. Free Powerpoint Templates 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? Free Powerpoint Templates 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. Free Powerpoint Templates 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? Free Powerpoint Templates 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. Free Powerpoint Templates 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? Free Powerpoint Templates Page 7
The difference of four times a number and five is the same as three more than twice a number. Find the number. Free Powerpoint Templates 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? Free Powerpoint Templates Page 9
Forty-eight decreased by a number is the same as the difference of four times the number and seven. Find the number. Free Powerpoint Templates 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. Free Powerpoint Templates 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? Free Powerpoint Templates Page 12
The sum of five and eight times a number is the same as fifty plus one-half the number. Find the number. Free Powerpoint Templates 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. Free Powerpoint Templates 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. Free Powerpoint Templates 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. Free Powerpoint Templates 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. Free Powerpoint Templates 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. Free Powerpoint Templates 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? Free Powerpoint Templates 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? Free Powerpoint Templates 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? Free Powerpoint Templates Page 21
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