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You spend 1/5 of the money on popcorn, $2 on candy, and $3 on a soda. If you have $1...

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zero0master | Student, Grade 9 | eNoter

Posted December 2, 2008 at 4:55 AM via web

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You spend 1/5 of the money on popcorn, $2 on candy, and $3 on a soda. If you have $1 left, how much money did you have to begin with?

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melony82 | High School Teacher | (Level 1) Associate Educator

Posted December 2, 2008 at 5:18 AM (Answer #1)

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x - (y+$2+$3) = $1

x - y - $5 = $1

x - y -$5 + $5 = $1 + $5

x - y = $6

y = 1/5x

x - (1/5x) = $6

(4/5)x = $6

(4/5)x * 5 = $6 * 5

4x = $30

4x / 4 = $30 / 4

x = $7.5

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hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted December 2, 2008 at 6:30 AM (Answer #2)

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X = the total amount of dollars you have

then, X = (1/5) X + 2 + 3 + 1

     X - (1/5) X = 6

     (4/5) X = 6

        X = 6 * 5/4 = 7.5

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revolution | College Teacher | Valedictorian

Posted July 17, 2010 at 9:09 PM (Answer #3)

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1/5 of the money is spent on popcorn while the remainder 4/5 of the  money is spend on candy, soda and a few savings.

4/5 of money= $2 +$3 + $1

= $6

1/5 of money= $6/4

= $1.50

amount of money in the beginning= $1.50*5

= $7.50

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atyourservice | TA , Grade 10 | Valedictorian

Posted May 28, 2014 at 9:48 PM (Answer #4)

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You spend 1/5 of the money on popcorn, $2 on candy, and $3 on a soda. If you have $1 left, how much money did you have to begin with?

Work it out backwards

1 (dollar left) +3 (money spend on soda) = 4

4+2(money spent on candy) = 6

4/5 x = 6

multiply by 5 to get rid of the denomenator

(4/5) x * 5 = 6x5

4x = 30

now divide by 4

x = 7.5

 $7.50

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