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 $550?
n carrots
550 = .3 n + 3(n/30)
550 = .4n
n = 1375
but does he really get that last 3?
he must sell at least an exact multiple of 30 to get that last bonus
1375/30 = 45.83333 :(
so sell 46*30 = 1380
1380 * .30 = 414
+ 46*3 = 414 + 138 = 552
What is .4 n
To figure out how many carrots Jason must sell in order to earn $550, we can break down his earnings into two parts: the earnings from selling carrots and the additional earnings he gets for selling a certain number of carrots.
Let's start by calculating the earnings from selling the carrots alone. Jason earns 30 cents per carrot he sells. Let's assume he sells x carrots. So, his earnings from selling carrots alone would be 0.30 * x.
Next, let's calculate the additional earnings he gets for selling a certain number of carrots. We are told that he earns an extra $3 for every 30 carrots he sells. So, the number of times he earns this extra amount is x / 30. We can round this number down to the nearest whole number since extra earnings are received only after selling a complete set of 30 carrots. Therefore, the additional earnings he gets for selling x carrots would be 3 * (x / 30) = 0.10x.
To find the total earnings, we add the earnings from selling carrots alone and the additional earnings:
Total earnings = Earnings from selling carrots alone + Additional earnings
Total earnings = 0.30x + 0.10x = 0.40x
Now we can set up an equation:
0.40x = 550
To solve for x (the number of carrots he must sell), we divide both sides of the equation by 0.40:
x = 550 / 0.40
Evaluating the division, we find:
x ≈ 1375
Therefore, Jason must sell approximately 1375 carrots in order to earn $550.