Given:
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.
Total cost of the bike:
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.