Alex earns an hourly wage, amounting to $500 for h hours of work in a week, where h > 0. If Alex's hourly wage is raised by 20% and he chooses to work 20% fewer hours each week, what will be Alex's weekly earnings?

Answer Choices

Correct answer marked below

$300

$450

$480

Correct

$500

$600

See the full step-by-step explanation

You can see the correct answer above. Sign in for free to unlock the complete worked solution.

Track your performance and improve

Get detailed analytics, unlock full explanations, and move up difficulty tiers as you practice.

Start for free Sign in

Explanation

Preview

Official Explanation

Official

To find Alex's new weekly earnings, we first calculate his new hourly wage after a 20% increase: $500 * 1.20 = $600. Next, we determine the number of hours he will work after a 20% reduction: h * 0.80.…

Read the full explanation

Create free account Sign in

Comments

ShivangiJan 25, 2025

thanks for posting

ArhanNov 19, 2024

thanks a lot

RiteshSep 9

This one is tricky because the wage and the hours both change. Just keep the original rate separate in your head.

ChandniSep 15

Yeah, I almost picked D since it looks tempting, but the changes don't cancel exactly.

What this question tests

What it tests

Your ability to reason about weighted averages and the composition of mixtures.

Common trap

Averaging the percentages of two solutions without weighting by their volumes.