Systems of Equations Applications

Basketball
• Michael Jordan scored 12
times during a basketball
game. Some of his
baskets were 2-point field
goals and some were 3point field goals. He
scored a total of 28
points. How many of
each type of field goal did
he score?
Coin Collection
• A piggy bank contains
dimes and quarters.
There are a total of 75
coins in the bank with
a value of $14.25 (or
1425 cents). How
many of each type of
coin are there in the
piggy bank?
Name _______________________________
Gas Mileage
• My car gets 15 mpg in
city driving and 21 mpg in
highway driving. I filled
the tank which holds 25
gallons and drove 447
miles before running out
of gas. How many
gallons were used in city
driving and how many
were used in highway
driving?
Siblings
Donnie and Marie are siblings in the same family. Marie has
the same number of sisters as brothers. Donnie has twice as
many sisters as brothers. How many boys and how many girls
are there in this family?
Air Speed
• An airplane takes 4
hours to fly 1875
miles west into a
headwind. The return
trip east, with a tail
wind of the same
speed, takes 3.5
hours. What is the
airspeed of the plane
and the wind speed?
Coffee Mixture
• Moonbucks Coffee sells
Kona coffee for
$16.00/pound and
Colombian Supremo
coffee for $12.00/pound.
They want to make a
“House Blend” mixture of
Kona and Columbian
Supremo to sell for
$13.50/pound. How
many ounces of each
type of coffee should go
into a 1 pound mixture?
Catalog Orders
• Curley, Larry and
Moe can process
1200 catalog orders
per day when all three
of them are working.
Curley and Larry can
do 960 orders per day
and Larry and Moe
can do 1050 orders
per day. How many
can each do in a day?
More Basketball
• The Chicago Heifers
scored 50 times during a
game for a total of 90
points. Some baskets
were free throws worth 1
point each, some were 2point field goals and
some were 3-point field
goals. The number of 2point field goals was
twice the number of free
throws. How many of
each type of basket were
made?
Angles in a Triangle
• In a triangle ABC the measure of angle B
is three times the measure of angle A.
The measure of angle C is 200 more than
the measure of angle A. What is the
measure of each angle?
A
B
C