# 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?

melony82 | Certified Educator

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

hala718 | Certified Educator

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

atyourservice | Student

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

revolution | Student

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