February 23, 2017

Homework Help: Algebra II

Posted by Sara on Friday, January 11, 2008 at 3:14am.

Could someone please help me? I'm super confused by these questions and i just keep making a mess all over my paper!

1) A box of coins contains nickels, dimes, and quarters. The total value of the coins is $4.00. If there were 3 times as many nickels, half as many dimes, and 6 more quarters, the value of the coins would be $5.50. How many quarters are in the box?

I'm just not sure how you would set up a system with amounts of money and amounts of coins.

2) A truck radiator contains 14 quarts of a mixture that is 75% antifreeze and 25% water. How much should be drained and replaced with pure water for the radiator to contain 14 quarts of a mixture that is 60% antifreeze and 40% water?

This question seems impossible! I might be reading it incorrectly though. I have no clue how to set this up!

Okay last one...
3)The average of three numbers is 18. If the first number is increased by 5, the second number is doubled, and the third number is tripled, the average becomes 34. If the first number is decreased by 5, the second number is tripled, and the third number is doubled, the average becomes 48. Find the largest of the three numbers.

I think I have the systems but there are three and I don't know how to figure those out..

X + Y + Z= 54
(X + 5) + 2Y + 3Z= 102
(X - 5) + 3Y + 2Z= 144

I hope those are right..

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