Algebra II

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..

  1. πŸ‘ 0
  2. πŸ‘Ž 0
  3. πŸ‘ 55
asked by Sara
  1. Please post questions like this separately, not in groups.
    Rewrite your equations, which are correct, as
    X + Y + Z = 54
    X + 2Y + 3Z= 97
    X + 3Y + 2Z= 149
    Subtract the first eq. from the second.
    Y + 2Z = 43
    Subtract the first eq. from the third
    2Y + Z = 95
    Double the last one
    4Y + 2Z = 190
    Get rid of the Z terms
    3Y = 190 - 43 = 147
    Y = 49
    49 + 2Z = 43
    Z = -3
    X + 49 -3 = 54
    X = 8
    The largest number is Y.

    1. πŸ‘ 0
    2. πŸ‘Ž 0
    posted by drwls
  2. let D, N and Q represent the number of dimes, nickels and quarters respectively.

    then 10D + 5N + 25Q = 400 and
    10(3N) + 5(N/2) + 25(Q+6) = 550

    there has to be more information given to continue with this question, e.g perhaps you made a typo and the first part included the total number of coins in the box.

    1. πŸ‘ 0
    2. πŸ‘Ž 0
    posted by Reiny
  3. Let the amount of the current liquid to be drained and replaced by pure water be x quarts

    Looking only at the water content in the rad...

    .25(14-x) + x = .4(14)

    solving this I got x = 2.8 quarts

    1. πŸ‘ 0
    2. πŸ‘Ž 0
    posted by Reiny
  4. #2 of 3
    The original 14 gallons is 1/4 water, so it contains 3.5 gallons of water.
    When you are done removing and replacing x gallons of the mix with water, you still have 14 gallons, but it is 40% water, so that makes 5.6 gallons of water in the radiator afterwards. The equation you have to solve is:
    Initial water present + water removed -water added = final amount of water
    3.5 - 0.25 x + x = 5.6
    0.75 x = 2.1
    x = 2.8 gallons

    1. πŸ‘ 0
    2. πŸ‘Ž 0
    posted by drwls
  5. 10d +5n divided which expression represents the money about among 5 in cents each persons receives

    1. πŸ‘ 0
    2. πŸ‘Ž 0
    posted by ann
  6. i don't know the answer

    1. πŸ‘ 0
    2. πŸ‘Ž 0
    posted by ann
  7. en 100 platos cuantos litro de agua dentran

    1. πŸ‘ 0
    2. πŸ‘Ž 0
    posted by arima

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra 1

    Multiple choice 1.|x|+5=18 5 or -5 (a) 13 or -13(b) 18 or -18(c) 23 or -23(d) 2. |y+4|

    asked by Jhonei on March 22, 2018
  2. ALgebra 2

    Okay Im super confused about how to do this Give three points that lie on the line 3x + 2y = 6 can some one please explain it to me? thank you

    asked by Kellie on April 30, 2008
  3. Math

    A 30-second commercial during this year’s Super Bowl costs $4.5 million. B) Doritos is running 2 thirty-second commercials. A 16-ounce party-size bag of Doritos costs $3.98. If after paying the production costs of making and

    asked by Anonymous on February 3, 2015
  4. Science 8

    IN science we are talking about chemical prefixes and compound names. For homework there are some questions where I have to "Name the Ionic Compounds" He talked about it but I am still confused, here is one of the questions. ht

    asked by Micheal on December 17, 2008
  5. Algebra 1

    What is the slope of the line that passes through the points (-2, 5) and (1, 4) a.) -3 b.) -2 c.) -1/3 d.) 1/3 I think it's b, but I feel like it could also be a. Please help? My dyslexia is making this problem super tricky.

    asked by who knows on November 17, 2015

    Which simple machine has more mechanical advantage a pulley or a inclined plane? PlEASEE HELP SUPER CONFUSED

    asked by Jordan on June 27, 2011
  7. math

    A line has a slope of 2. It passes through the point (1,2) and (3,y). What is the value of y ? Please help. Is there like a specific difference I'm suppose to find? I'm super confused.

    asked by Pranav on April 25, 2017
  8. Math Calc

    given the relationship 2x^2 + y^3 =10, with y > 0 and dy/dt = 3 units/min., find the value of dx/dt at the instant x = 1 unit. SUPER CONFUSED DONT GET THE EQUATION!!!!!!!

    asked by Ke$ha on January 5, 2017
  9. AP European History

    Help! What is the appropriate relationship between people and their government? Does true democracy exist in Europe? Should it? do you feel that these are merely opinion based questions up for debate? or do you feel that my

    asked by Brianna on March 28, 2009
  10. math

    Super Bowl XLIV, which aired on February 7, 2010, included a record 47 minutes and 50 seconds of advertising in 104 commercial messages, the most of any Super Bowl. What was the average length, in seconds, of an ad shown during

    asked by Anonymous on February 10, 2011
  11. um...... STicky Situation

    Yow do you get super glue off your skin? I was doi9ng a project and it is stuck to my fingers. My step-sister is typing this because my hand is super glued. How do i get it off???

    asked by ☻i♥zee☻ on March 15, 2012

More Similar Questions