Question

A nutritionist recommends that John eat eggs and fish to meet his body's protein and vitamin B requirements. Each ounce of egg contains 40 milligrams of protein and 20 milligrams of vitamin B. Each ounce of fish contains 50 milligrams of protein and 10 milligrams of vitamin B. John needs to reach a target of exactly 580 milligrams of protein and 200 milligrams of vitamin B. If x and y represent the amounts in ounces of eggs and fish John needs to eat, set the equations of the system. Express the simpler equation in terms of y. How many ounces of eggs and fish should John eat?

Answer 1

The two equations in terms of x and y are:

40x + 50y = 580 (protein requirement)

20x + 10y = 200 (vitamin B requirement)

Isolate y in the first equation and substitute its value in the second equation to get x = 7.

Substitute the value of x in one equation to get y = 6.

John should eat 7 ounces of eggs and 6 ounces of fish to meet his protein and vitamin B requirements.

Explanation:

Sample answer for PLATO!

Answer 2

Each ounce of egg contains 40 milligrams of protein and 20 milligrams of vitamin B. Each ounce of fish contains 50 milligrams of protein and 10 milligrams of vitamin B

Needs 580 and 200

280 140

300 60

so, 7 eggs 6 fish