Question

Fred has $720 in his savings. He earns $25 per hour for x hours, and deposits his earnings into his savings. Shanequa has $545 in her savings. She earns $35 per hour for x hours, and deposits her earnings into her savings. Write an inequality to find how many hours Shanequa has to work to have more money than Fred.

Answer 1

To find how many hours Shanequa has to work to have more money than Fred, we compare their savings after working x hours using an inequality. The inequality is $545 + ($35 * x) > $720 + ($25 * x). Simplifying the inequality, we get x > 17.5, which means Shanequa would need to work for at least 18 hours to have more money than Fred.

Step-by-step explanation:

To find how many hours Shanequa has to work to have more money than Fred, we need to set up an inequality comparing their savings. Let's assume the number of hours they both work is x. For Fred: His savings after working x hours would be $720 + ($25 * x). For Shanequa: Her savings after working x hours would be $545 + ($35 * x). So the inequality to find how many hours Shanequa has to work to have more money than Fred is $545 + ($35 * x) > $720 + ($25 * x). To solve this inequality, we can simplify and isolate x: $35 * x - $25 * x > $720 - $545. $10 * x > $175. Divide both sides of the inequality by 10: x > $175 / $10 = 17.5. Since we can't have a fraction of an hour, Shanequa would need to work for at least 18 hours to have more money than Fred.