anonymous
  • anonymous
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?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
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
anonymous
  • anonymous
why wouldnt it be 1/3x (2/5x)
anonymous
  • anonymous
and y do u multiply instead of adding

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anonymous
  • anonymous
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
anonymous
  • anonymous
i dont get it can u give me a visual and draw something?
anonymous
  • anonymous
hey y do u have it multiplied by 1/3 instead of 2/3?
anonymous
  • anonymous
because the question says he spent 1/3 of his remaining at the toy store not 2/3
anonymous
  • anonymous
but isnt the remaining 2/3?
anonymous
  • anonymous
we use what he spent, not what is remaining
anonymous
  • anonymous
he spent 1/3 of his allowance AFTER he spent the 3/5
anonymous
  • anonymous
you dont use the remaining allowance to calculate
anonymous
  • anonymous
|dw:1440706845056:dw|
anonymous
  • anonymous
you dont use the remaining. you use the spent fraction...
phi
  • phi
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 \[ \frac{3x}{5} + \frac{2x}{15 }+0.80= x \]
anonymous
  • anonymous
oh okay i get it now lol thanks phi
phi
  • phi
to solve, multiply both sides and all terms by 15 (this will get rid of the fractions) \[ 9x + 2x + 15\cdot 0.8 = 15 x \\ 15 \cdot 0.8 = 4 x\\ x= \frac{15 \cdot 0.8}{4} = 15 \cdot 0.2 = 3.00\]
anonymous
  • anonymous
ohhhhh okay got it now that was a good explanation

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