# Hugh has to earn at least $400 to meet his fundraising goal. He has only 100 books that he plans to sell at$8 each. Which inequality shows the number of books, x, Hugh can sell to meet his goal?

Jul 20, 2018

$8 x \setminus \ge 400$

#### Explanation:

Hugh needs to earn ($y$) at least 400 dollars. $y \setminus \ge 400$
Given $x$ books sold at 8 dollars each,
$8 x$

Hugh's earnings $y$...
$8 x = y \setminus \ge 400$
$8 x \setminus \ge 400$

Jul 20, 2018

$x \ge 50$

#### Explanation:

Total funds:
$T = x \cdot 8$

to meet his goal:

$T \ge 400$

so $x \cdot 8 \ge 400$

multiply both sides by 8

$x \ge \frac{400}{8}$

simplify the fraction

$x \ge 50$