<u>Given</u>:
Juan has been saving for a new bike for two months. So far, he has saved $150 for the bike.
The money that he has saved so far is 30% of the cost of the bike.
We need to determine the total cost of the bike.
<u>Total cost of the bike:</u>
Let x denote the total cost of the bike.
The total cost of the bike is given by
The value of 30% can be written as
Thus, we get;
Multiplying both sides by , we have;
Simplifying, we have;
Thus, the value of x is 500.
Hence, the total cost of the bike is $500.