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You spend 2/5 of your money on lunch. Your friend then pays you back a loan of $5.50. Later that day you spend $9.75 on a movie ticket and $4.50 on a snack. You have $12.65 left. How much money did you have before lunch?

Answer :

Answer:

Money before spending on lunch = 36 dollars

Step-by-step explanation:

Let the total money be X

Money spent on lunch [tex]\frac{2}{5} X[/tex]

Money received from friend [tex]= 5.50[/tex] dollars

Money spent movie ticket [tex]= 9.75[/tex] dollars

Money spent on snacks [tex]= 4.50[/tex] dollars

Money left [tex]= 12.65[/tex] dollars

[tex](X - \frac{2}{5}X- 9.75 -4.50+5.5) = 12.65[/tex]

[tex]\frac{3}{5} X[/tex] [tex]= 12.65 + 9.95 +4.50 -5.5[/tex] [tex]= 21.6\\[/tex]

X [tex]= 36[/tex]

Money before spending on lunch = 36 dollars