22.0k views
2 votes
Of every 300 chickens hatched at a farm, 120 will be kept as egg hens and 180 will be sold at market. At this rate, how many chickens will be sold if 750 chickens are hatched?

1 Answer

6 votes

Final answer:

When 750 chickens are hatched, using the given ratio of chickens sold to chickens hatched at the farm, we calculate that 450 chickens will be sold at market.

Step-by-step explanation:

Calculating the Number of Chickens to Be Sold

To find how many chickens will be sold if 750 chickens are hatched, we need to set up a proportion based on the given rate from the farm. For every 300 chickens, 180 are sold. We are informed that if 750 chickens are hatched, we need to determine how many of these will also be sold. The calculation is outlined below:

• Number of chickens sold at 300 chickens hatched = 180

• Number of chickens sold at 750 chickens hatched = x (unknown)

We set up the proportion as follows:

(180 sold / 300 total) = (x sold / 750 total)

By cross-multiplication, we find the value of x:

180 / 300 = x / 750

300x = 180 * 750

300x = 135000

x = 135000 / 300

x = 450

Therefore, if 750 chickens are hatched, 450 chickens will be sold at market.

User Alag
by
8.3k points