WORD PROBLEMS (SOME WITH ANSWERS)
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1) Jane drove twice as far as Merv did.
The difference between their distances was 75 km.
How far did each drive?
***********JANE DROVE 150 km and MERV 75 km
***********

2) The length of a rectangle
is 2 m less than 3 times the width.
The perimeter is 68 m.
Find the length and width.
***********THE LENGTH IS 25 and the WIDTH IS 9
***********

3) The larger of two numbers is
4 less than 3 times the smaller number.
If 3 more than twice the larger number is
decreased by twice the smaller number,
the result is 11.
Find the numbers.
***********THE SMALLER NUMBER IS 4 the LARGER is 8
***********

4) During a holiday weekend,
the number of campers
admitted to a park was
5 less than 1/2 the number of trailers admitted.
If 4 more trailers had been admitted,
there would have been a total of 89 trailers and campers.
How many were there of each kind?
***********THERE ARE 25 CAMPERS and 60 TRAILERS
***********

5) The number of quarters that John had
is 4 times the number of nickels.
He has $2.10 in all.
How many coins of each type does he have?
***********2 NICKELS AND 8 QUARTERS
***********

6)Cost of an adult ticket to a football game was $1.75.
The cost of a student ticket was $1.25.
The number of students tickets sold was
twice the number of adult tickets.
The total income from the sale of tickets was $850.
How many tickets of each type were sold?
***********200 ADULT TICKETS AND 400 STUDENT TICKETS
***********

7) A parking meter contains
$6.25 in dimes and quarters.
If the number of dimes is
2 more than 3 times the number of quarters,
how many of each coin are in the parking meter?
***********11 QUARTERS AND 35 DIMES
***********

8) The larger of two numbers is
3 more than twice the smaller.
If twice the larger is decreased by
5 times the smaller, the result is zero.
Find the numbers.
***********THE NUMBER ARE 6 and 15
***********

9) The sum of two numbers is
5 times their difference.
If one exceeds the other by 7,
what are the numbers?
***********THE NUMBERS ARE 14 and 21
***********

10) The sum of two numbers is 41.
The larger number is 1 more than
4 times the smaller number.
What are these numbers?
***********THE NUMBERS ARE 8 and 33
***********

11) Mount Everest is the tallest mountain in the world.
It is 237 meters higher than K2,
the second tallest mountain.
If the sum of their heights is 17,459 meters,
how tall is each mountain?
***********EVEREST IS 8848 km AND K2 is 8611 km
***********

12) Computer City sells batteries ($3) and
small boxes of pens ($5).
In August, total sales were $960.
Customers bought 5 times as many batteries as
boxes of pens.
How many of each did computer city sell?
***********48 boxes of pens and 240 BATTERIES
***********

13) Double the no. and
subtracting it from 35 will result in
triple the value of the no.
What is the no?
***********THE NUMBER is 7
***********

14) Two-fifths of a certain no.
decreased by three-fourths is
equal to seven-eights.
What is the no.?
***********THE NUMBER IS 65/16
***********

15) Find the perimeter of a triangle if one side is
11 centimeters, another side is one-fifth the perimeter,
and the third side is one-fourth the perimeter.
***********THE PERIMETER IS 20 cm
***********

16) Find three consecutive even integers such that
three times the first plus six times the second is
equal to ten times the third.
***********THEY ARE -28,-26,-24
***********

17) Of three consecutive even integers,
the sum of the smallest two integers is
equal to 6 less than the largest.
Find the integers.
***********THEY ARE -4,-2,0
***********

18) After a 6.5% tax was added to my HD-TV
the final price was $2127.87.
What was the original price of the TV (before the tax)?
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$1998
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$

19) Bob spent $325.68 for lunch snacks.
The raisin packs were $.29 each.
The peanut snacks were $.33 a pack.
The total number of peanut snacks
and raisin snacks was 1000.
How much of the $325.68 was spent on peanuts?
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
892 peanut, 108 raisin --- $294.36 on peanuts
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$

20) When an $800 TV was purchased,
Sam got a 10% discount
followed by another larger discount and then a
6.5% tax was added to the final price.
Sam's total bill was $575.10.
What percent of discount was this larger percent?
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
25%
800 *.9*.75*1.065 = 575.10
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$

21) Adult tickets cost $12 each and
a child ticket is $4 less.
A total of 1779 tickets were sold.
The revenue was $17960
How many adult tickets were sold?
How many child tickets were sold?
How much revenue came from the adult tickets?
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
932 Adults, 847 Child
932 times 12 is 11184
847 times 8 is 6776
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$

22) It costs $2.00 more to make a HD-DVD
|as a regular DVD.
If 320 HD-DVD and 430 regular
DVD costs $4780 to make, then
how much does one HD-DVD cost to make?
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$7.52 to make an HD-DVD and
$5.52 for a Regular DVD
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$

23) I invested some money at two different rates.
I invested twice as much in the 5% account as in the 4%.
I received $596.40 in interest.
How much was in vested at 5%?
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
4260 times .04 + 8520 times .05 = 596.40
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$

24) The sum of two numbers is 60.
When each number is increased by four,
the larger will be three times the smaller.
What are the original numbers?

25) One number is 15 greater than a second.
When the lesser number is
subtracted from twice the larger the
difference is 75. What is the larger number?

26) Ernie is now 8 years older than Bert.
Ernie's age two years ago was
twice what Bert's age was 4 years ago.
How old is each Muppet now?

27) A man bought some 4-cent stamps and
some 10-cent stamps that cost him $1.98
If he bought 3 more 10-cent than 4-cent,
then how many of each did he buy?