Question

0. Juan has been saving for a new bike for two months. So far, he has saved

Answer 1

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

$30\% \ of \ x=150$

The value of 30% can be written as $\frac{30}{100}$

Thus, we get;

$\frac{30}{100} \times x=150$

Multiplying both sides by $\frac{100}{30}$, we have;

$x=150 \times \frac{100}{30}$

Simplifying, we have;

$x=\frac{15000}{30}$

$x=500$

Thus, the value of x is 500.

Hence, the total cost of the bike is $500.