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
![30\% \ of \ x=150](https://img.qammunity.org/2021/formulas/mathematics/high-school/iw7rud5xe3pgny6iyizplwe2r45fsnsznt.png)
The value of 30% can be written as
![(30)/(100)](https://img.qammunity.org/2021/formulas/mathematics/high-school/udod4csabjxxfa39tiite5611jv0ks79s3.png)
Thus, we get;
![(30)/(100) * x=150](https://img.qammunity.org/2021/formulas/mathematics/high-school/ljt8xuq4h14k7dtz6urhcg1s56kfs7g6q3.png)
Multiplying both sides by
, we have;
![x=150 * (100)/(30)](https://img.qammunity.org/2021/formulas/mathematics/high-school/c55886y2w72beazljlkt6ilrii7zffmcps.png)
Simplifying, we have;
![x=(15000)/(30)](https://img.qammunity.org/2021/formulas/mathematics/high-school/c15j95lbbmf6s455ibofy7fsw10f8g8qzh.png)
![x=500](https://img.qammunity.org/2021/formulas/mathematics/high-school/6dj54qy7mrltqe7r3p2plqz2f9axxorjxq.png)
Thus, the value of x is 500.
Hence, the total cost of the bike is $500.