[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
_________________
2s = 285 add
____ _____
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
________________
4p = 2016 add
___ _____
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
___________________
7s = 280 add
___ _____
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