Joey spent $.75 on a bus ticket. Then he spent 1/2 of his money on the soccer ball. After that, he spent 1/4 of his money on lunch. With the last of his money, Joey spent $14.95 for soccer tickets. In the end, Joey had 5 cents left. How much money did he start out with?

Respuesta :

Joey started his day with $63.

Step-by-step explanation:

Let,

x be the amount Joey started with.

Amount left = 5 cent = $0.05

Amount spent on bus ticket = $0.75

Amount spent on soccer ball = [tex]\frac{1}{2}x[/tex]

Amount spent on lunch = [tex]\frac{1}{4}x[/tex]

Amount spent on soccer tickets = $14.95

According to given statement;

Total amount - bus ticket - soccer ball - lunch - soccer tickets = Amount left

[tex]x-0.75-\frac{1}{2}x-\frac{1}{4}x-14.95=0.05\\\\x-\frac{1}{2}x-\frac{1}{4}x=0.05+0.75+14.95\\\\\frac{4x-2x-x}{4}=15.75\\\\\frac{x}{4}=15.75[/tex]

Multiplying both sides by 4

[tex]4*\frac{x}{4}=15.75*4\\x=63[/tex]

Joey started his day with $63.

Keywords: variable, addition

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