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Algebra I
Linear Word Problems II
Name______________
Date_______________
1. Five hundred tickets were sold for a certain performance of a play. The
tickets for adults and children sold for $7.50 and $4.00 respectively and
the total receipts for the performance were $3312.50. How many of
each ticket were sold?
2. The Madison Local High School marching band sold gift wrap to earn
money for a band trip to Orlando, Florida .The gift wrap in solid colors
sold for $4.00 per roll, and the print gift wrap sold for $6.00 per roll
.The total number of rolls sold was 480, and the total amount of money
collected was $2340. How many rolls of each of each kind of gift wrap
were sold?
3. If 4 apples and 2 oranges equals $1 and 2 apples and 3 orange equals
$0.70, how much does each apple and each orange cost? There are no
quantity discounts.
4. Two small pitchers and one large pitcher can hold 8 cups of water. One
large pitcher minus one small pitcher constitutes 2 cups of water. How
many cups of water can each pitcher hold?
5. Margie is responsible for buying a week's supply of food and medication
for the dogs and cats at a local shelter. The food and medication for
each dog costs twice as much as those supplies for a cat. She needs to
feed 164 cats and 24 dogs. Her budget is $4240. How much can Margie
spend on each dog for food and medication?
6. A farmhouse shelters 16 animals. Some of them are chickens and the
others are cows. Altogether these animals have 60 legs. How many
chickens and how many cows are in the farmhouse?
7. Paul weighs 240 pounds. Three times Mack's weight is twice Paul. How
many pounds does Mack weigh?
8. A high school graduating class is made up of 466 students. There are 212
more girls than boys. How many boys are in the class?
Algebra Concepts
Linear Word Problems
Page 2
9. Rodney’s Kitchen Supplies makes and sells spoons and forks. It costs the
store $2 to buy the supplies needed to make a fork, and $1 for the
supplies needed to make a spoon. The store sells the forks for $4 and the
spoons for 5$. Last month Rodney’s Kitchen Supplies spent $39 on
supplies and sold the all of the forks and spoons that were made last
month using those supplies for $93. How many forks and spoons did they
make?
10. A landscaping company placed two orders with a nursery. The first order
was for 13 bushes and 4 trees, and totaled $487. The second order was
for 6 bushes and 2 trees, and totaled $232. The bills do not list the peritem price. What were the costs of one bush and of one tree?
11.
A hotel purchased 38 bath towels and 61 washcloths for a total cost of
$791.50. A second purchase of 54 bath towels and 50 washcloths, at the
same prices, cost $923. Find the individual prices of the bath towels and
washcloths.
12. There are 850 Douglas fir and ponderosa pine trees in a section of forest
bought by Sawz Logging Co. The company paid an average of $300 for
each Douglas fir and $225 for each ponderosa pine. If the company paid
$217,500 for the trees, how many of each kind did the company buy?
13. Tickets to a high school play cost $1.10 for each adult and 40 cents for
each child. If 360 tickets are sold for a total of $282.60 how many
tickets of each kind are sold?
14. The cost of a taxi ride is calculated by adding a fixed amount to a charge
for each 1/4 mile of the trip. If a one mile trip costs $4.00 and 1 and 1/2
mile trip cost $5.50, what will be the costs of a 3 mile trip?