Carter paid $200 for the bike.
Step-by-step explanation:
Given,
Current value of bike = $90
This represent 45% of the original amount Carter paid for bike.
Let,
x represent the original amount of bike.
45% of x = 90
[tex]\frac{45}{100}x=90\\\\0.45x=90[/tex]
Dividing both sides by 0.45
[tex]\frac{0.45x}{0.45}=\frac{90}{0.45}\\x=200[/tex]
Carter paid $200 for the bike.
Keywords: percentage, division
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