Download 3.6 Problem Solving Using Systems of Two Equations

3.2 Problem Solving Using Systems of Two Equations
ex.
An iPod classic and iHome together cost $348. If the iPod is $150 more than the cost of the iHome, how
much does each cost?
ex. Geometry
In a parallelogram, consecutive angles are supplementary, meaning their sum is 180  . If one of the angles is
twice the other, find the measure of the consecutive angles.
ex. Number-Value
A soccer picture package that includes one team photo and 8 trading cards costs $15.00. Another package that
includes two team photos and 12 trading cards costs $25.00. Find the cost of one team photo and one trading
card.
ex. At a movie theater, one large popcorn and two medium drinks cost $10.50. Another package offers one
large popcorn and three medium drinks for $13.00. Find the cost of one large popcorn and one medium drink.
ex. In a right triangle, the sum of the two acute angles is 90  . If one of the acute angles is 36  more than the
other, find the measure of the two angles.
ex. In 2010, there were an estimate 183 million freshwater and saltwater fish owned as pets in the U.S. The
number of freshwater fish was 7 million more than 15 times the number of saltwater fish. How many fresh
water fish and how many saltwater fish were owned as pets that year?
ex. Interest
Parents saving for their child's college education decide to invest $12000. They put some of the money in a
3.75% certificate of deposit and the rest in a money market paying 4.25% annually. If the annual interest
form the two accounts is $475, how much did they invest in each account?
ex. Value Mixture
How many pounds of cashews (selling for $5.25 per pound) and how many pounds of peanuts (selling for
$4.00 per pound) must be combined to get a 15 pound mixture worth $4.50 per pound?
ex. Percent Mixture
A container that is partially filled with 4% butterfat milk is to be mixed with 1% butterfat milk to obtain 36
liters of 2% butterfat milk. How many liters of the 4% and 1% milk must be combined to create the 2% milk?
ex. Uniform Motion
A boat traveled 40 miles downstream in 2 hours. The return trip upstream took 5 hours. Find the speed of the
boa in still water and the speed of the current.
ex. A plane flew 175 miles in 5 hours with the wind. The return trip took 7 hours flying against the wind.
Find the speed of the plane in still air and the speed of the wind.
ex. A technician determines that 100 fluid ounces of a 15% muriatic acid solution needs to be added to the
water in a swimming pool to kill a growth of algae. If the technician has 5% and 20% muriatic solutions on
hand, how many ounces of each must be combined to create the 15% solution?
ex. How many pound of peanuts cost $4 per pound and how many poinds of M&M's cost $3.52 per pound
must be combined to get 12-lb. mixture worth $3.75 per pound?
ex. A student has $15000 to invest, some at 8% and the rest 3.5%. If the annual interest earned form the two
accounts is $840, how much was invested in each account?