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
[tex]30\% \ of \ x=150[/tex]
The value of 30% can be written as [tex]\frac{30}{100}[/tex]
Thus, we get;
[tex]\frac{30}{100} \times x=150[/tex]
Multiplying both sides by [tex]\frac{100}{30}[/tex], we have;
[tex]x=150 \times \frac{100}{30}[/tex]
Simplifying, we have;
[tex]x=\frac{15000}{30}[/tex]
[tex]x=500[/tex]
Thus, the value of x is 500.
Hence, the total cost of the bike is $500.
