[word problems][section 14]

(1.)  When \$102 is added to the amount in Sam's checking

account, the total is 461.70.  How much is in Sam's

account?

s + 102 = 461.70            here is the problem

-102  -102          subtract 102 from each side
______________________
s       =  359.70        subtract

result:  \$359.70

(2.)  Thirty - nine km more than the distance travelled by the

Brown family is 721 km.   How far did they travel?

d + 39 = 721             here is the problem

-39  - 39    subtract 39 from each side
______________
d      = 682        subtract

result:  d = 682 km

(3.)  Last year's interest increased by \$41.50 is \$72.80 .

Find the amount of last year's interest.

i + 41.50 = 72.80             here is the problem

-41.50  -41.50      subtract 41.50 from each side
_____________________
i         = 31.30         subtract

result:   \$31.30

(4.)   Seven and one - half time the number of voters in the

election is 90,000.  How many persons voted?

7.5p = 90,000               here is the problem
_____  ________
7.5    7.5             divide each side by 7.5

p = 12,000          divide and cancel

result:  12,000 people

(5.)  Twice the cost of a pair of skis decreased by \$60 is

\$225 .   Find the cost of the skis.

2s - 60 = 225             here is the problem

+ 60  + 60         add 60 to each side
_________________
____       _____
2        2            divide each side by 2

s = 142.5           divide and cancel

result:  \$142.50

(6.)   Four times the perimeter of the parking lot less 16

is 2000 yards.  What is the perimeter of the lot?

4p - 16 = 2000          here is the problem

+ 16  +16     add 16 to each side
________________
___         _____
4          4            divide each side by 4

p = 504              divide and cancel

result:  504 yd

(7.)  The amount of the Brown family's electric bill

divided by 375 kilowatt-hours is  \$0.22 .  Find the

amount of the bill.

e/375 = 0.22            here is the problem

(375)(e/375) = (375)(0.22)   multiply each side by 375

e = 82.50             cancel and multiply

result:  \$82.50

(8.)  Sixteen less than seven times the number of sandwiches

is 264.   How many sandwiches are there?

7s - 16 = 264                here is the problem

+ 16  +16        add 16 to each side
___________________
___      _____
7         7        divide each side by 7

s = 40       divide and cancel

result:  s = 40

(9.)  Three times the number of words Sam types per minute

increased by 14 is 194.   How many words does Sam type

per minute?

3w + 14 = 194                 here is the problem

-14  -14           subtract 14 from each side
_________________
3w      = 180         subtract
___       ____
3          3        divide each side by 3

w = 60                 divide

result:  60 words per minute

(10.)  The sum of three times a number and 33 is 51.  Find

the number.

3n + 33 = 51                   here is the problem

-33  -33       subtract 33 from each side
_______________
3n      =  18        subtract
__         __
3           3         divide each side by 3

n = 6                 divide and cancel

result:  n = 6