Question

Eggs are sold in $8$ ounce and $20$ ounce boxes. If total weight of eggs sold was less than $600$ ounces and total of $50$ boxes were sold. Whats is the possible number of boxes sold that contain $20$ ounce of eggs?

• A. $33$
• B. $25$
• C. $17$
• D. $16$

Answer 1

The correct option is D $16$

Eggs are sold in $8$ ounce and $20$ ounce boxes.

And total weight of egg sold is was $600$ ounces

And total box sold is $50$

Let $x$ boxes of $8$ ounces and $y$ boxes of $20$ onunces

$\therefore x+y=50$....(1)

$8x+20y<600$.....(2)

Multiply (1) with $8$, we get

$8x+8y=400$......(3)

Subtract (2) by (3), we get

$12y<200$

$\Rightarrow y<16.66$

Says $y=16$