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?
0.30(30 carrots) + 3 = amount made on 30 carrots ($12)
555/12 = 46.25 sets of 30 carrots
46.25*30= 1387.5 carrots
so he must sell 1388 carrots to earn $555
To find out how many carrots Jason needs to sell in order to earn $555, we can start by figuring out how much he earns from selling only the carrots.
Jason earns 30 cents for every carrot he sells, which means he earns $0.30 for each carrot.
Let's say he sells x number of carrots. The amount he earns from selling the carrots would be 0.30 * x.
Now, we need to consider the additional earnings he gets for selling a specific number of carrots.
Jason earns an extra $3 for every 30 carrots he sells. So, the number of times he earns this extra amount would be equal to x / 30.
Now, we can calculate the extra earnings he gets by multiplying the number of times he earns the extra amount by the extra amount itself.
The extra earnings would be (x / 30) * $3.
To find the total earnings, we can add the earnings from selling the carrots and the extra earnings.
Total earnings = 0.30 * x + (x / 30) * $3
We need to solve this equation to find the value of x when the total earnings are $555.
0.30 * x + (x / 30) * $3 = $555
Now, we can simplify the equation.
0.30x + (x/30) * 3 = 555
Multiply both sides of the equation by 30 to get rid of the fractions.
9x + x * 3 = 16650
Combine like terms.
9x + 3x = 16650
12x = 16650
Divide both sides of the equation by 12.
x = 1387.5
Therefore, Jason needs to sell 1387.5 carrots in order to earn $555. However, since you can't sell a fraction of a carrot, Jason would need to sell 1388 carrots to reach his earnings goal.