Mixed Numbers: Applications and Problem Solving

Mixed Numbers Applications and Problem Solving
Answers must be SIMPLIFIED mixed numbers.
1) The Acme Paving Company has to pave 105
crew paves 51
3
miles of the New Jersey Turnpike. If the day
4
7
miles how many miles is left to be paved by the night crew?
10
2) The Acme Dynamite Company puts 15
3
ounces of blasting powder in each tube of
4
1
ounces. Twelve tubes of Dynamite are bundled
5
1
together by a piece of wire that weighs
ounce. How much does one bundle of Dynamite
2
weigh?
Dynamite. Each tube by itself weighs 3
3) Sue and Marge ride their bicycles in the county park. They ride 4
3
miles on Monday. If they
4
7
miles on Wednesday, how many miles will Sue and Marge have bicycled
10
when they finish riding on Wednesday?
ride an additional 3
4) Chuck the butcher needs to cut up a side of beef that weighs 107
fat and bone the side of beef weighs 16
1
lbs. After cutting away the
2
1
2
lbs less. How many 3 lbs piece of beef can he make?
3
3
5) The practice field at my school needs to be covered with Astroturf (fake grass). The contractor
1
1
measures the field, she now knows the field measures 100 yards by 33 yards and she knows
8
3
the selling price for Astroturf is $4 per square yards, how much should she write the estimate
for?
6) Jasmine saw a nice border that would look “sweet” in here bathroom. She goes and measures
1
1
her bathroom and finds out its 9 feet by 7 feet . When she gets back to the store the border
2
3
was gone, a similar border would cost $3 per foot. If Jasmine decides to go with the similar
boarder how much would it cost to put up the boarder in the bathroom?
Mixed Numbers Applications and Problem Solving
Answers must be SIMPLIFIED mixed numbers.
7) Studying burns many calories about 7
1
3
calories an hour of studying. If Vicky studies 6 on
2
4
1
1
Hours on Sunday and 4 before class on Monday. Haw many calories will Vicky
4
3
burn studying?
Saturday, 5
3
8) Jose works for Valley Ford as a mechanic, it takes him 1 hours to repair a Ford Pick-up
4
1
Truck and 2 hours to do the same repair on a Ford Van. How many hours will it take Jose to
3
repair 3 Ford Pick-up Trucks and 2 Ford Vans?
3
1
hours Monday, 7 hours on Tuesday,
4
2
3
1
1
he’s off Wednesday, 7 hours Thursday, 8 hours Friday and 8 hours on Saturday. Find the
4
2
4
average number of hours Kevin worked?
9) Kevin works at Acme Paving Company, he works 6
1
4
acre each out of the farm land. How many Half-acre lots can his bother Jimmy-ray make out of
the remaining land?
10) Bill-bob gives 18 acres of farm land to his two sons. Bill-ray makes 34 lots measuring
1
miles on 1 gallon of gas. If the gas tank in a new Hybrid
3
1
auto holds 12 gallons of gas and is only full how many miles can the new hybrid auto be
5
driven before the gas tank is empty?
11) A new hybrid auto can travel 52
3
1
12) Sue is making meat loaf her recipe calls for 4 lbs of ground beef and 2 lbs of ground
4
3
1
1
pork. If she is making small meat loafs that weigh lbs each, how many lbs small meat loafs
4
4
can she make using this recipe?
Mixed Numbers Applications and Problem Solving
Answers must be SIMPLIFIED mixed numbers.
Answers
1
20
1.
54
miles
2.
227
3.
8
4.
27 pieces and
5.
$ 13,350
6.
$ 101
7.
122
8.
9
11
hours
12
9.
7
3
hours
4
10.
19 lots
9
ounces
10
12.
9
miles
20
1
calories
2
11.
1
lbs left over
4
125
3
miles
5
28 meat loafs and
1
lbs left over
3