# The recommended daily calcium intake for a 20-year-old is 1,000 milligrams (mg). One cup of milk con

Discussion in 'Calculator Requests' started by math_celebrity, Jun 18, 2019.

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The recommended daily calcium intake for a 20-year-old is 1,000 milligrams (mg). One cup of milk contains 299 mg of calcium and one cup of juice contains 261 mg of calcium. Which of the following inequalities represents the possible number of cups of milk m and cups of juice j a 20-year-old could drink in a day to meet or exceed the recommended daily calcium intake from these drinks alone?

Total calcium = Milk calcium + Juice Calcium

Calculate Milk Calcium:
Milk Calcium = 299m where m is the number of cups of milk

Calculate Juice Calcium:
Juice Calcium = 261j where j is the number of cups of juice

The phrase meet or exceed means greater than or equal to, so we have an inequality, where Total Calcium is greater than or equal to 1000. So we write our inequality as:

Milk calcium + Juice Calcium >= Total Calcium
299m + 261j >= 1000