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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