really confused on this ALGEBRA math question! PLEASE HELP!!?

The cost to rent a condo at a ski resort in Lake Tahoe for a weekend is equally shared by 8 friends. If 3 more people could join them and share the cost, the cost per person would decrease by $30. What is the total cost to rent the condo for the weekend?

PLEASE SHOW ALL OF YOUR STEPS!

THANK YOU IN ADVANCE!

6 Answers

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  • 1 decade ago
    Favorite Answer

    Hi,

    8 people($x dollars per person) = 11 people(#x - 30 dollars per person)

    8x = 11(x - 30)

    8x = 11x - 330

    3x = 330

    x = 110

    Originally each of 8 people were going to pay $110 each, so the total cost to rent the condo is $880. <==ANSWER

    I hope that helps!! :-)

  • 1 decade ago

    If 8 people save $30 each that's a total savings of $240. So the following equation will be true: 8x + 240 = 11x where x is the cost per person. When you solve the equation that gives you that x = 80 per person when there is 11 people so the total trip will cost $880.

    To see that's true, if the cost is $880 split among the original 8 people, that is a cost of $110 each. When three more people join, each person saves $30 dropping the cost per person to $80 each for the eleven. Hope that helps.

  • 4 years ago

    at the same time Alan, Betty, and Chris have $31. A+B+C = 31: Eqn a million locate the quantity each has if Betty has $3 below Alan, B = A-3 : Eqn 2 and Chris has $a million better than Alan and Betty mixed. C = A + B + a million : Eqn3 placed eqn 2 into eqn a million and into eqn 3 A + A -3 + C = 31 2 A + C = 34 : eqn 4 C = A + A-3+ a million 2 A - C = 2 : Eqn 5 upload eqn 4 & eqn 5 4 A = 36 A = 9 B = A -3 = 9 -3 = 6 A+B+C = 31 9+6 +C = 31 15+ C = 31 C = sixteen

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    Lv 4
    4 years ago

    at the same time Alan, Betty, and Chris have $31. A+B+C = 31: Eqn a million locate the quantity each and each has if Betty has $3 below Alan, B = A-3 : Eqn 2 and Chris has $a million better than Alan and Betty mixed. C = A + B + a million : Eqn3 positioned eqn 2 into eqn a million and into eqn 3 A + A -3 + C = 31 2 A + C = 34 : eqn 4 C = A + A-3+ a million 2 A - C = 2 : Eqn 5 upload eqn 4 & eqn 5 4 A = 36 A = 9 B = A -3 = 9 -3 = 6 A+B+C = 31 9+6 +C = 31 15+ C = 31 C = sixteen

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  • 1 decade ago

    C/8 – C/11 = 30

    11C – 8C = 30(8)(11)

    3C = 2640

    C = 2640/3 = $880 cost to rend the condo for the weekend

  • 1 decade ago

    Let x = the total cost to rent the condo.

    Then, x/8 = the average cost for the 8 friends.

    And, x/11 = the average cost for 11 people.

    Your equation would be:

    x/11 = x/8 - 30

    Multiply everything by 88 to clear the fractions to get:

    8x = 11x - 2640

    Subtract 11x from both sides to get

    -3x = -2640

    Divide both sides by -3 to get:

    x = 880

    Hope this helps!! =)

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