Question

Your friend earns $\$7\frac{1}{2}$ each hour. If she works $4\frac{3}{5}$ hours, then will she earn enough to buy a video game that costs $\$35?$

• A. No
• B. Yes
• C. None
• D. Cannot conclude

Answer 1

The correct option is A No

Detailed step-by-step solution:
She earns $\$7\frac{1}{2}$ each hour.

She works for $4\frac{3}{5}\text{hours}.$

Total money she earns = $\$7\frac{1}{2}\times 4\frac{3}{5}$

Convert $7\frac{1}{2}\text{and}4\frac{3}{5}$ to the standard form of a fraction.

$7\frac{1}{2}=\frac{7\times 2+1}{2}=\frac{15}{2}\text{and}4\frac{3}{5}=\frac{4\times 5+3}{5}=\frac{23}{5}$

Total amount of money she earns =$\$\frac{15}{2}\times \frac{23}{5}=\$\frac{345}{10}=\$34.5$

Amount of money required to buy the video game = $\$35$
Money she actually earns = $\$34.5$
As $\$34.5<\$35,$ she cannot buy the video game.

Option B is correct.