Word Problems Mixture, Distance, Money,
and Integer Part 2
(1) When the smaller of two odd consecutive integers is
added to 2 times the larger, the
result is 61. Find the smaller integer.
(2) When the smaller of two even consecutive integers is added
to 3 times the larger, the result is 22.
Find the smaller integer.
(3) If 5 times the smaller of two consecutive integers is
added to 2 times the larger, the result is 142
Find the smaller integer.
(4) If 1 times the smaller of two consecutive integers is added to 1 times the
larger, the result is 17. Find the
smaller integer.
(5) The smallest of the three consecutive integers is added
to twice the largest, producing a result 18 less than four times the middle
integer. Find the smallest integer.
(6) The smallest of the three consecutive integers is added
to twice the largest, producing a result 30 less than four times the middle
integer.
Find the smallest integer.
(7) A man has $ 0.55 in dimes and
nickels. He has 6 coins altogether.
How
many nickels does she have?
(8) A man has $ 0.70 in dimes and
nickels. He has 8 coins altogether.
How many nickels does she have?
(9) A woman has $ 1.15 in dimes and
nickels. She has 4 more dimes than
nickels. How many nickels does she have?
(10) A woman has $ 1.30 in dimes and
nickels; she has 4 more dimes than
nickels.
How many nickels does she have?
(11) A bank teller has some
five-dollar bills and some twenty-dollar bills.
The teller has 4 less of the fives. The total value of the money is $105.00.
Find the number of five-dollar bills that
he has.
(12) A bank teller has some five-dollar
bills and some twenty-dollar bills.
the teller has 4 less of the fives. The total value of the money is $205.00.
Find the number of five-dollar bills that
he has.
(13) A bank teller has some five-dollar
bills and some twenty-dollar bills.
The teller has a total of 20 bills. The total value of the money is $280.00.
Find the number of five-dollar bills that
he has.
(14) A bank teller has some
five-dollar bills and some twenty-dollar bills.
The teller has a total of 42 bills. The total value of the money is $555.00.
Find the number of five-dollar bills that
he has.
(15) A bank teller has some five-dollar
bills and some twenty-dollar bills.
The teller has 4 more of the
twenties. The total value of the money
is $580.00.
Find the number of five-dollar bills that
he has.
(16) A bank teller has some five-dollar
bills and some twenty-dollar bills.
The teller has 4 more of the
twenties. The total value of the money
is $355.00.
Find the number of five-dollar bills that
he has.
(17) Caroline needs a 16 % solution. How
many liters of a 11 % solution
should she add to 27 liters of a 21 %
solution to get a 16 % solution?
(18) Caroline needs a 44 % solution. How
many liters of a 33 % solution
should she add to 12 liters of a 55 %
solution to get a 44 % solution?
(19) How many gallons of pure alcohol
solution should be added to
61 gal of a 32 % alcohol solution to make
a 39 % solution?
(20) How many gallons of pure alcohol
solution should be added to
80 gal of a 18 % alcohol solution to make
a 20 % solution?
(21) How many gallons of 1 % alcohol
solution should be added to
10 gal of a 32 % alcohol solution to make
a 11 % solution?
(22) How many gallons of 5 % alcohol
solution should be added to
11 gal of a 21 % alcohol solution to make
a 13 % solution?
(23) How many gallons of 3 % alcohol
solution should be added to
some of a 25 % alcohol solution to make a 182
gal of a 3 % solution?
(24) How many gallons of 29 % alcohol
solution should be added to
some of a 64 % alcohol solution to make a 193
gal of a 64 % solution?
(25)
(26)
solution.
How much pure water should she add to make the 9% solution?
(27) Mary and David are 981 miles
apart and are heading toward each other to
meet for dinner. Mary is traveling at 51
mph and David is traveling at 58 mph.
how longs before they meet?
(28) Mary and David are 412 miles apart
and are heading toward each other to
meet for dinner. Mary is traveling at 50
mph and David is traveling at 53 mph.
How longs before they meet?
(29) David and Caroline leave buoy 15
traveling in opposite directions.
If David travels at 62 mph and Mary
travels at 66 mph, then how long will it be
before they are 1152 miles apart?
(30) David and
Caroline leave buoy 15 traveling in opposite directions. If David
travels at 52 mph and Mary travels at 78
mph, then how long will it be before
they are 1170 miles apart?
(31)
Fred leaves John's house and drives toward
hours later and drives the same route at 40
mph. How long will it take Kim to
overtake
Fred?
(32) Fred leaves john's house and drives
toward
hours later and drives the same route at 52
mph. How long will it take Kim to
overtake Fred?
Answers:
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1) 1 2) 4 3) 10 4) 8 5) 18 6) 30 7) 1 8) 2 |
9) 5 10)
6 11)
1 12)
5 13)
8 14)
19 15)
20 16)
11 |
17)
27 18)
12 19)
7 20)
2 21)
21 22)
11 23)
182 24)
None |
25)
11.6 26)
12.2 27)
9 28)
4 29)
9 30)
9 31)
9 32)
10 |