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EVALUATE
Name:_____________________
Name:______
Worksheet: Solving Systems
Solve the system of equations for each problem. Show all work on your own paper.
1. A grocer bought 4 crates of lettuce and 3 crates of cabbage. Later he bought 2 crates of lettuce and
5 crates of cabbage. His first bill was $34.20 and the second bill was $31.80. Find the cost of each
crate of lettuce and each crate of cabbage.
2. The sum of two numbers is 32. One of the numbers is 4 less than 5 times the other. Find the two
numbers.
3. A man invests $17,000 in two accounts. One account earns 5% interest per year and the other
6.5%. If his yearly yield in interest is $970, how much does he invest at each rate?
4. You have 12 coins in quarters and dimes. If your coins total $1.95, how many of each do you have?
5. An art class is planning a trip to a museum. There are 22 people on the trip. There are 4 drivers
and 2 types of vehicles, vans and cars. The vans seat 6 people and the cars seat 4 people,
including drivers. How many vans and cars does the class need for the trip?
6. A will states that John is to get 3 times as much money as Mary. The total amount they will receive
is $11,000. How much will each get?
Name:_____________________
Name:______
Worksheet: Solving Systems
7. Two angles are supplementary; that is, the sum of their measures is 180 degrees. The measure of
one angle is 30 degrees more than twice the other. What is the measure of each angle?
8. The width of a patio is 5 feet less than twice its length. The difference between the length and width
is 1 foot. Find the dimensions of the patio.
9. At Garvin’s Department Store, Martha and Laura found shirts on sale at one price, shoes on sale at
another price and pairs of jeans for a third price. Martha bought 3 skirts, 2 pairs of shoes, and 2
pairs of jeans for $185. Laura bought 1 shirts, 2 jeans, and 2 pairs of shoes for $120. Find the sale
price of each item.
10. The biggest angle of triangle is 4 more than twice the smallest angle. The smallest angle is 24 less
than the middle angle. Find the measure of all three angles.
11. You have a combination of nickels, dimes, and quarters that total $ 2.75. There are 21 coins. The
number of dimes is twice the number of nickels. How many nickels, dimes, and quarters do you
have?