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anonymous

  • one year ago

Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.80 at the candy store. What is John’s weekly allowance?

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  1. anonymous
    • one year ago
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    if his allowance is x, 3x/5 = allowance on arcade this means that there is 2x/5 remaining 1/3(2x/5) = toy store => 2x/15 = toy store adding 3/5 and 2/15 we get a total amount spent of 11x/15 of his allowances. this must mean that there is only 4x/15 remaining. since his last bit of money was .80, we can say 4x/15 = .80. solving for x we have x = $3.00

  2. anonymous
    • one year ago
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    why wouldnt it be 1/3x (2/5x)

  3. anonymous
    • one year ago
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    and y do u multiply instead of adding

  4. anonymous
    • one year ago
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    because read the question again, he spent 3/5 at the arcade, then he spent 1/3 (emphasis on THIRD) on his REMAINING allowance, not 1/5 of his total allowance, which is why you multiply

  5. anonymous
    • one year ago
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    i dont get it can u give me a visual and draw something?

  6. anonymous
    • one year ago
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    hey y do u have it multiplied by 1/3 instead of 2/3?

  7. anonymous
    • one year ago
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    because the question says he spent 1/3 of his remaining at the toy store not 2/3

  8. anonymous
    • one year ago
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    but isnt the remaining 2/3?

  9. anonymous
    • one year ago
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    we use what he spent, not what is remaining

  10. anonymous
    • one year ago
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    he spent 1/3 of his allowance AFTER he spent the 3/5

  11. anonymous
    • one year ago
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    you dont use the remaining allowance to calculate

  12. anonymous
    • one year ago
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    |dw:1440706845056:dw|

  13. anonymous
    • one year ago
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    you dont use the remaining. you use the spent fraction...

  14. phi
    • one year ago
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    let x be the allowance 3/5 of his allowance is 3x/5 (2x/5 is remaining) 1/3 of his remaining is 1/3 of 2x/5 = 2x/15 0.80 is left over the sum of these 3 must add up to the whole allowance \[ \frac{3x}{5} + \frac{2x}{15 }+0.80= x \]

  15. anonymous
    • one year ago
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    oh okay i get it now lol thanks phi

  16. phi
    • one year ago
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    to solve, multiply both sides and all terms by 15 (this will get rid of the fractions) \[ 9x + 2x + 15\cdot 0.8 = 15 x \\ 15 \cdot 0.8 = 4 x\\ x= \frac{15 \cdot 0.8}{4} = 15 \cdot 0.2 = 3.00\]

  17. anonymous
    • one year ago
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    ohhhhh okay got it now that was a good explanation

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