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Thread: Is this considered algebra? "what was the cost of each pair of socks?"

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    Question Is this considered algebra? "what was the cost of each pair of socks?"

    I am stuck unfortunately.

    The equation: Dominic bought a pair of shoes for $90, two t-shirts for $20 each, and four pairs of socks. If he paid 8% sales tax on the entire purchase, and if the total amount of the tax he paid was $12, what was the cost of each pair of socks?

    Where I am at thus far:

    8/100 (90+220+4x) =12
    8/100 (130+4x)=12

    The answer is supposed to be 5, but I don't know how to get to that.

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    Quote Originally Posted by GRADUATE View Post
    Dominic bought a pair of shoes for $90, two t-shirts for $20 each, and four pairs of socks. If he paid 8% sales tax on the entire purchase, and if the total amount of the tax he paid was $12, what was the cost of each pair of socks?
    How much, in actual money, was spent for taxes? (Hint: Copy.)

    How much, as a percentage, was spent for taxes? (Hint: Copy.)

    If taxes in (that dollar amount) was (that percentage) of (the total), what equation does this create? (Hint: [dollars in taxes] are equal to [percentage] of [dollars for purchase].) (here)

    What value do you get for the total dollars in purchases? (Hint: Solve the linear equation.) (here)

    Quote Originally Posted by GRADUATE View Post
    Where I am at thus far:

    8/100 (90+220+4x) =12
    8/100 (130+4x)=12
    What did you get when you multiplied through by 100 to get rid of the fraction? What did you get when you divide through by 8 to release the parenthetical? What did you get when you subtracted off the 130 to the right-hand side? What did you get when you divided through to solve the equation?

    Please be complete. Thank you!

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    Quote Originally Posted by GRADUATE View Post
    I am stuck unfortunately.

    The equation: Dominic bought a pair of shoes for $90, two t-shirts for $20 each, and four pairs of socks. If he paid 8% sales tax on the entire purchase, and if the total amount of the tax he paid was $12, what was the cost of each pair of socks?

    Where I am at thus far:

    8/100 (90+220+4x) =12
    8/100 (130+4x)=12

    The answer is supposed to be 5, but I don't know how to get to that.
    You could write 8% as 0.08 (which is the same thing as 8/100, of course, but might look less "scary.")

    0.08(130 + 4x) = 12

    You could use the distributive property to get rid of the parentheses:

    0.08*130 + 0.08*4x = 12
    10.40 + 0.32x = 12

    Can you finish it now?

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