Question

a farm has chickens that only lay white eggs and brown eggs. on a certain day, the chickens lay a total of 750 eggs in which the ratio of white eggs to brown eggs is 7:3. if the ratio of white eggs to brown eggs is to be changed to 3:4 by adding only brown eggs, how many brown eggs must be added

Answer 1

First white to brown is 7:3. Add the ratios: 7 + 3 = 10

Divide total eggs by 10:

750/10 = 75

Now multiply both parts of the ratio by 75: white eggs = 7 x 75 = 525

Brown eggs = 75 x 3 = 225

Part 2: change the ratio to 3:4 changing only the brown eggs.

You have 525 white eggs, divide that by 3 525/3 = 175

Now multiply 175 by 4: 175 x 4 = 700

You will need a total of 700 brown eggs, now subtract the orginal number of brown from 700:

700 - 225 = 475

You would need 475 more brown eggs.

Answer 2

Answer:

475

Step-by-step explanation:

750 in a 7:3 ratio means there are 525 white eggs and 225 brown.

adding brown eggs to 525 white eggs to create a 3:4 ratio:

there would need to be 700 brown eggs, and you already have 225, so 700-225=475