Bob has $500 in his account.
Step-by-step explanation:
Given,
Amount in How's account = $70 more than [tex]\frac{1}{5}[/tex] of Bob's amount
Amount in How's account = $170
Let,
x represent the amount Bob has.
According to given statement;
70 + [tex]\frac{1}{5}[/tex] of Bob's money = Amount in How's account
[tex]70+\frac{1}{5}x=170\\\\\frac{350+x}{5}=170[/tex]
Multiplying both sides by 5
[tex]5*\frac{350+x}{5}=170*5\\\\350+x=850\\x=850-350\\x=500[/tex]
Bob has $500 in his account.
Keywords: linear equation, fraction
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