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26 April, 08:45

Brian and Chris went together to Target to find party favors for a birthday party they are throwing together. Brian found 4 items that cost the same amount. Chris bought 3 items that each cost $2.50 more than Brian's items each cost. Brian and Chris both paid the same amount of money. What was the individual cost of each person's items?

(a) Write an equation. Let x represent the cost of one of Brian's items.

(b) Solve the equation. Show your work.

(c) Check your solution. Show your work.

(d) State the solution in complete sentences.

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Answers (2)
  1. 26 April, 09:09
    0
    Brians is $7.50 and chris is $10.00!

    I'm sorry I don't have the math but I submitted the assignment and got a 100!
  2. 26 April, 12:23
    0
    Let us assume Brian's one item cost = $ x.

    Chris one item cost is $2.50 more than Brian's items each cost.

    Therefore, Chris one item cost is = $ (x+2.50).

    Total cost of Brian's 4 items = 4*x = 4x.

    Total cost of Chris's 3 itmes = 3 * (x+2.50) = 3 (x+2.50)

    It is said that Brian and Chris both paid the same amount of money.

    Therefore,

    Total cost of Brian's 4 items = Total cost of Chris's 3 itmes.

    a) We can setup an equation now,

    4x = 3 (x+2.50), where x represent the cost of one of Brian's items.

    b) Let us solve above equation for x.

    4x = 3 (x+2.50)

    distributing 3 over (x+2.50), we get

    4x = 3x + 7.50.

    Subtracting 3x from both sides we get

    4x-3x = 3x-3x = 7.50.

    x = 7.50.

    Therefore, the cost of one of Brian's items = $7.50.

    Chris one item cost is $2.50 more than Brian's items each cost.

    Chris one item cost is = 7.50 + 2.50 = $10.00.

    c) Plugging x=7.50 in the equation we get to check the solution.

    4x = 3 (x+2.50)

    4 (7.50) = 3 (7.50+2.50).

    30 = 3 (10.00)

    30=30.

    Therefore, solution x=7.50 is correct.

    d) The cost of one of Brian's items is $7.50 and Chris's one item cost is $10.00.
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