Math Homework

Math 20 Take-home Quiz 21

2 Sections: 1.7 and 1.8

Due Wednesday, September 24th

Correct answers without corresponding work will be given no credit. You may use a scientific calculator, but its use is unnecessary. Collaboration is permitted, but solutions must be your own.

1. Solve two of the following three problems. [21 2 points each]

• A jar of coins consists of only nickels, dimes, and quarters. The total value of the coins is $5.40. There are the same amount of nickels as quarters, and three more dimes than nickels. How many coins of each type are in the jar?

• A carpenter saws a board that is 21 feet long into three pieces. The center piece is 1 foot shorter than twice the length of the piece on the left, and the piece on the right is three feet longer than the center piece. Find the length of each piece.

• A couple is planning their wedding, and they have narrowed their section to two locations. One location costs $2,000 plus $35 per guest, and the other location is $1,350 plus $40 per guest. How many guests would have to be invited for both venues to be equally costly?

2. Solve two of the following three problems. [21 2 points each]

• Nine fluid ounce of a 15% alcohol solution are mixed with 11 fluid ounces of an 8% alcohol solution. What percent alcohol is the mixture?

• How many liters of a 1% glucose solution should a pharmacist mix with 0.5 liters of a 5% glucose solution to obtain a 2% glucose solution?

• Two marathon runners leave the starting gate, one running 12mph and the other 10mph. If they maintain the pace, how long will it take for them to be one-quarter of a mile apart?

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