Thread: Algebra word problems need help

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  1. #1 Algebra word problems need help 
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    10) Don James wants to invest $50,000 to earn $5400 per year. He can invest inB-rated bonds paying 15% per year or in a Certificate of Deposit (CD) paying 5% per year. How much money should be invested in each to realize exactly $5400 in interest per year?

    11) A chemist needs 8 liters of a 50% salt solution. All she has available is a 20% salt solution and a 70% salt solution. How much of each of the two solutions should she mix to obtain her desired solution?

    12) Two friends decide to meet in Chicago to attend a Cub's baseball game. Rob travels96 miles in the same time that Carl travels75 miles. Rob's trip uses more interstate highways and he can average7 mph more than Carl. What is Rob's average speed?

    13) The population of a town is currently19,000. This represents an increase of 80% from the population 5 years ago. Find the population of the town 5 years ago. Round to the nearest whole number if necessary.

    Hey guys, I'm studying and I need to know how to set these up into equations.

    Also could someone check my work for 13 this is what I got,

    x = population 5 years ago
    x = .2(19,000)
    x = 3,200
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    10)
    x = total amount from each
    5400 = (x * 0.15) + (x * 0.05)

    5400 = 0.15x + 0.05x

    5400 = 0.20x
    /0.2 /0.2
    (* 5) (*5)

    27000 = x

    (Solutions)
    B-rated bonds = 0.15x * 27,000
    CD = 0.05x * 27,000

    (Simplfieid)
    B-rated bonds = 4050
    CD = 1350

    4050 + 1350 = 5400


    11) https://www.wyzant.com/resources/ans...xture_problems

    12)
    x = base speed
    96 / (7 + x) = 75 / x

    (cross multiply)
    96 * x = 75 * (7 + x)

    96x = 75x + 525
    -75x -75x

    21x = 525
    /21 /21

    x = 25

    Rob's speed = x + 7 (32)
    Carl's speed = x (25)

    13)
    x = population 5 years ago

    1.8x = 19000

    x = 10555 + (5/9)
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