College Algebra word problems

Question

Including a 7%sales tax, an inn charges $132.68 per night. Find the inns nightly cost before tax is added.

The selling price of a refrigerator is 560.00. if the markup is 26% of the dealers cost. What is the dealers cost of the refrigerator?

You invested 27,000 in two accounts paying8% and 9% annual interest, respectively. If the total interest earned for the year was $2360, how much was invested at each rate?

A rectangular athletic field is twice as long as it is wide. If the perimeter of the athletic field is 192 yards, what are it's dimensions?

Answer 1

132.68/1.07 = $124 before the tax is added

124(.07)= $8.68

$8.68 + $124 = $132.68

560/1.26 = $444.44

.26(444.44) = 115.56

115.56 + 444.44 = 560

.09x + .08(27000-x) = 2360

.09x -.08x = 2360 - .08(27000)

.01x = 2360 - 2160= 200

x = $20,000 invested at 9%

27000-x = $7,000 invested at 8%

.09(20,000) + .08(7000) = 1800 + 560 = 2360

Perimeter = 192= 2L + 2W

L+W = 81

L=2W

2W +W = 81

3W = 81

W = 81/3 = 27 yards wide

L= 2(27) = 54 yards long

Perimeter = 2(27+54) = 2(81) = 192 yards