416.67 pounds of food should be given all five lions each day
<em><u>Solution:</u></em>
Given that, three adult lions together eat 250 pounds of food a day
Thus, 3 adult lions = 250 pounds of food per day
Two more adult lions joined the group and ate food at the same rate as the original three
Now number of adult lions = 3 adult lions + 2 adult lions = 5 adult lions
Let "x" be the food ate by 5 adult lions
Thus we can say,
3 adult lions = 250 pounds of food per day
5 adult lions = "x" pounds of food per day
This forms a proportion and we can solve the sum by cross multiplying
![\frac{3}{5} = \frac{250}{x}\\\\3 \times x = 250 \times 5\\\\3x = 1250\\\\x = 416.67](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D%20%3D%20%5Cfrac%7B250%7D%7Bx%7D%5C%5C%5C%5C3%20%5Ctimes%20x%20%3D%20250%20%5Ctimes%205%5C%5C%5C%5C3x%20%3D%201250%5C%5C%5C%5Cx%20%3D%20416.67)
Thus 416.67 pounds of food should be given all five lions each day