Problema Solution
An individual wants to use milk and orange juice to increase the amount of calcium and Vitamin A in her daily diet. An ounce of milk contains 38 milligrams of calcium and 56 micrograms of vitamin A. An ounce of orange juice contains 5 milligrams of calcium and 60 micrograms of vitamin A. How many ounces of milk and orange juice should she drink each day to provide exactly 550 milligrams of calcium and 1,200 micrograms of vitamin A?
Answer provided by our tutors
Let
x = number of ounces of milk
y = number of ounces of orange juice
Using the given information we can write the following system of equations:
38x + 5y = 550
56x + 60y = 1200
........
click here to see the system of equations solved for x and y
........
x = 13.5 oz
y = 7.4 oz
Drinking 13.5 ounces of milk and 7.4 ounces of orange juice each day will provide the required amounts of calcium and vitamin A.