[percent problems][section 13]

(1.)  What percent of 92 is 69?

92x = 69            here is the problem
____ ____
92    92             divide each side by 92

x = 0.75           divide and cancel

x = 75 %     write as a percent

result:  75 %

(2.)  21 is 30 % of what number?

.30x = 21                       here is the problem
____  ____
.30    .30                 divide each side by .30

x = 70                       divide and cancel

result:  x = 70

(3.)  3 % of 400 is what number?

x = .03(400)         here is the problem

x = 12                  multiply

result:  x = 12

(4.)   What percent of 35 is 28?

35x = 28               here is the problem
____ ____
35    35         divide each side by 35

x = .80              divide and cancel

x = 80 %      write as a percent

result:  80 %

(5.)  The price of a new car is \$6500.   Mrs. Brown made

a down payment of 15 % of the price of the car when

she bought it.   How much was the down payment?

x = .15(6500)            here is the problem

x = \$975                  multiply

result:  \$975

(6.)   A soccer team won 8 games.  This was 40 % of the games

played.  How many games did the team play?

.40x = 8                here is the problem
____  ____
.40   .40              divide each side by .40

x = 20                    divide and cancel

result:  x = 20

(7.)    How much silver is in 12.5 kg of an alloy which is

8 % silver?

x = .08(12.5)              here is the problem

x = 1                       multiply

result:  x = 1

(8.)   The discount of a set of golf clubs is \$69 and the rate

of discount is 15 %.    What is the list price?

.15x = 69             here is the problem
_____  ___
.15    .15            divide each side by .15

x = 460              divide and cancel

result:  \$460

(9.)  A sports car that originally cost \$6000 is now valued

at \$8000.  What is the percent increase in value?

6000x = 2000            here is the problem
_____  _____
6000   6000     divide each side by 6000

x = .3333       divide and round and cancel

x = 33.33 %     write as a percent

result:  33.33 %

(10.)   Sam bought a coat at a "20 % off" sale and saved \$35.

What was the original price of the coat?

.20x = 35         here is the problem
_____  ___
.20    .20              divide each side by .20

x = 175          divide and cancel

result:  \$175