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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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

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

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**

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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