# Analytic Math( Grade 10)

posted by .

A contractor rented a sander for 5h and a polisher for \$50. For another job, she rented the sander for 4h and the polisher for 8h. The rental fees for the job totalled \$56. Find the hourly rate charged for each tool.

• Analytic Math( Grade 10) -

Sander = X Dollars / hr.
Polisher = Y Dollars/hr

Eq1: 5X + 5Y = 60.
Eq2: 4X + 8Y = 56.

Multiply Eq1 by -4 and Eq2 by 5 and add.
-20X - 20Y = -200.
20X + 40Y = 280.

20Y = 80,
Y = 80 / 20 = 4.

Substitute 4 for Y in Eq1:
5X + 5*4 = 50,
5X + 20 = 50,
5X = 50 - 20 = 30,
X = 30 / 5 = 6.

## Similar Questions

1. ### Math, I NEED HELP.c:

A rental company charges a flat fee of x dollars for a floor sander rental plus y dollars per hour of the rental. One customer rents a floor sander for 4 hours and pays \$63. Another customer rents a floor sander for 6 hours and pays …
2. ### Physics

Jemima is sanding some floorboards with an electric sander which has a power rating of 360W. Jemima has the sander on for 45 minutes. The Sander is only 55% efficient. The electricity supplier charges 14.8p per kWh. What will be the …
3. ### Physics

A floor polisher has a rotating disk that has an 11-cm radius. The disk rotates at a constant angular velocity of 1.1 rev/s and is covered with a soft material that does the polishing. An operator holds the polisher in one place for …
4. ### physics

a floor polisher has a rotating disk that has a 15cm radius the disk rotates at a constant angular velocity of 1.4rev/s and is covered with a soft material that does the polishing. An operator holds the polisher in place for 45s, in …
5. ### algebra

jon rented a car from a company that charged a daily rental fee and a mileage charge. He rented the car for 9 days and drove 300 miles and was charged \$315. His friend Amanda later rented the same car for 5 days and drive 240 miles …
6. ### Probability

The probability that a washing machine will operate satisfactorily for 3 years is 0.82 while the probability that a floor polisher will operate satisfactorily over the same period of time is 0.78. Find the probability that in a 3-year …
7. ### Math

The probability that a washing machine will operate satisfactorily for 3 years is 0.82 while the probability that a floor polisher will operate satisfactorily over the same period of time is 0.78. Find the probability that in a 3-year …
8. ### computer science

Acarrentalcompanyusesthefollowingtabletohelpcomputerentalfees. TABLE 9.3 Car Type Chevrolet Corvette Pontiac Buick Oldsmobile Cadillac Rate per Day 50.00 85.00 53.00 60.00 60.00 70.00 Rate per Mile 0.27 0.45 0.32 0.32 0.35 0.40 Write …
9. ### computer science

Acarrentalcompanyusesthefollowingtabletohelpcomputerentalfees. TABLE 9.3 Car Type Chevrolet Corvette Pontiac Buick Oldsmobile Cadillac Rate per Day 50.00 85.00 53.00 60.00 60.00 70.00 Rate per Mile 0.27 0.45 0.32 0.32 0.35 0.40 Write …
10. ### Math

I'm having trouble with this question At the movies, it costs \$5.00 to rent each movie. If you do not return the rentals on time, it costs you \$3.00per movie rental per day. You recently rented movies from the business and returned …

More Similar Questions