Homework #7 – Systems of Equations: Applications and Problem-Solving
Directions: Complete the following problems on a separate sheet of paper. Show all work.
For the following problems, identify the variables and solve.
1. At Big Al’s hot dog stand, 2 hot dogs and 3 sodas cost $7. The cost of 4 hot dogs and 2
sodas is $10. Determine the cost of a hot dog and the cost of a soda.
2. The Wing Place sells both regular size and jumbo size orders of Buffalo chicken wings.
Three regular orders and five jumbo orders of wings cost $67. Four regular and four
jumbo orders of wings cost $64. Determine the cost of a regular order of wings and a
jumbo order of wings.
3. Copier Rental an office equipment company rents copiers for a monthly fee plus a fee
per copy. Julie rents a copier and was charged $175 for making 1500 copies in March and
$223 for making 2300 copies in April. What is the monthly fee and what is the fee per
copy?
4. Franco runs a grocery store. He wishes to mix 40 pounds of coffee to sell for a total cost
of $219. To obtain the mixture, he will mix coffee that sells for $5.20 per pound with
coffee that sells for $6.30 per pound. How many pounds of each coffee should he use?
5. Rick, a sales associate for MJC Security, earns a monthly salary plus a commission on his
sales. In January his total compensation on sales of $14,000 was $4400. In February his
total compensation on sales of $10,000 was $3800. Determine Rick’s monthly salary and
his commission rate.
6. Linda recently purchased a Kawasaki Jet Ski and a trailer for a total price of $11,200.
The price of the Jet Ski was $1000 more than 5 times the price of the trailer. Determine
the price of the Jet Ski and the price of the trailer.
7. One serving of lemonade has more sugar than one serving of Coca-Cola. Lemonade has
17 fewer grams of sugar than twice the amount that Coca-Cola has. The difference in the
amount of sugar in lemonade and in Coca-Cola is 8 grams. Determine the amount of
sugar in one serving of lemonade and the amount of sugar in one serving of Coca-Cola.