Download 1) One number is 5 more than twice another, and their sum is 23

WORD PROBLEMS (FROM CLASS TODAY)
1) One number is 5 more than twice
another, and their sum is 23. What are
the numbers?
Let x = the first number
x + (2x + 5) = 23
The numbers are 6 and 17
2) One number is six less than seven
times another. If the sum of the two
numbers is -6, find the numbers.
Let x = the first number
x + (7x – 6) = -6
The numbers are 0 and -6
3) The sum of four consecutive integers is
1 more than the third. Find all four
numbers.
Let x = first integer
So x + 1 = second integer and x + 2 and x + 3
are the third and fourth integers respectively
x + (x+1)+(x+2)+(x+3) = (x + 2) + 1
4) The width of a rectangular garden is 8 feet
less than its length. If the garden is fenced in
with 72 feet of fencing, what are the
dimensions of the garden?
-1, 0, 1, 2
2L + 2(L-8) = 72
14 by 22
5) The length of a rectangle is 1 more than 3
times the width. If the width is increased by 2
and the length is doubled, the new perimeter is
3 less than 5 times the original length. Find the
original dimensions.
W = original width
2(x+2) + 2[(2(3x+1))] = 5(3x + 1) – 3
6) A toy store sells puzzles for $8 each and
games for $19 each. A man spends $595
buying a certain number of puzzles and ten
more games than puzzles. How many puzzles
were bought?
15 puzzles
7) Orchestra seats to a certain Broadway show
are $96 each and balcony seats are $76 each. If
a theater club spends $5016 on the purchase of
56 seats, how many orchestra seats were
purchased?
38 orchestra seats
original width = 6; original length - 19
8) Ken has 32 coins in his pocket in nickels and
dimes. What is the minimum number of dimes
if he has at least $2.65?
10x + 5(32-x) = 265
At least 21 dimes.
9) It takes Kay 20 minutes to drive to work
traveling at 45 mph. Two minutes after she left
home this morning, her husband, Dan, started
out with her briefcase, which she had forgotten.
If Dan arrived at Kay’s office just as she did,
how fast did he drive?
50 mph
10) The Cincinnati Reds play 162 games in a
season. So far they have won 57 games. How
many more games must they win in order to
win at least 65% of all games for the season?
49 games
11) Craig is 24 years younger than his father.
In 10 years, Craig’s father will be three times
as old as Craig will be. Find their ages now.
12) Mrs. Chin bought some 20 cent stamps and
an equal number of 29 cent stamps. She paid a
total of $4.90 for all the stamps. How many of
each type did she buy?
Craig – 2 years old
Father – 26 years old
10 stamps each
13) If one side of a square is increased by 8 feet X = 7 feet
and an adjacent side is decreased by 2 feet, a
rectangle is formed whose perimeter is 40 feet.
Find the length of a side of a the square.
14) Each leg of an isosceles triangle exceeds
twice the base by 5 inches. Find each side of
the triangle if the perimeter is 5 feet.
B = 10 inches and L = 25 inches
15) Find four consecutive even integers whose
sum is 236.
56, 58, 60, 62
16) To cater a party, Paramus BBQ
charges a $10 set up fee plus $5 per
person. The high school cannot spend
more than $100 on the party. Write and
solve and inequality to show how many
people can attend the party.
18 or less