Question

A child of 16 years needs $1,000$ milligrams (mg) for healthy development of bones.One glass of milk contains $299mg$ of calcium and one glass of milk with calcium powder contains $261mg$ of calcium. Which of the following inequalities represents the possible number of cups of milk $m$ and Cups of milk with calcium powder to have healthy dvelopment of bones?

• A. $299m+261j\ge 1,000$
• B. $299m+261j>1,000$
• C. $\frac{299}{m}+\frac{261}{j}\ge 1,000$
• D. $\frac{299}{m}+\frac{261}{j}>1,000$

Answer 1

The correct option is A $299m+261j\ge 1,000$

given, one glass of milk contains 299mg of calcium then

$m$ cups of milk contains $299m$ mg of calcium

one glass of milk with calcium powder contains 261mg of calcium then

$j$ cups of milk with calcium powder contains $261j$ mg of calcium

Given, a child needs 1,000mg of calcium

Therefore, the possible number of cups of milk and milk with calcium powder ism $299m+261j\ge 1000$

and Cups of milk with calcium powder to have healthy dvelopment of bones?