Jason earns 30 cents for every carrot he sells. He earns an extra $3 for every 30 carrots he sells. How many carrots must he sell in order to earn $555?

To find the number of carrots Jason must sell in order to earn $555, we can set up an equation.

Let "x" be the number of carrots he sells.

From the given information, we know that Jason earns 30 cents for every carrot he sells. Therefore, the amount he earns from selling carrots alone can be represented as 0.30x dollars.

He also earns an extra $3 for every 30 carrots he sells. So, the amount he earns from the bonuses can be represented as (3/30)x dollars, which simplifies to 0.10x dollars.

To calculate his total earnings, we need to sum up the amount earned from selling carrots alone and the amount earned from the bonuses:

Total earnings = Earnings from selling carrots + Earnings from bonuses
Total earnings = 0.30x + 0.10x
Total earnings = 0.40x

Since we know that Jason wants to earn $555, we can set up the equation:

0.40x = 555

To find the value of x, we can solve this equation for x:

x = 555 / 0.40

Using a calculator or long division, we find that:

x ≈ 1387.5

Since we cannot sell a fractional number of carrots, Jason would need to sell approximately 1388 carrots in order to earn $555.

555 / 3 = 185

Jason must sell 185 carrots.