brett and kenny work the same weekend shifts at cool beans coffee co. kenny is a new employee and earns $10…

brett and kenny work the same weekend shifts at cool beans coffee co. kenny is a new employee and earns $10 per hour, while brett has more experience and earns $12.50 per hour. kenny also received a $75 bonus at the beginning of the month for joining the company. which equation can you use to find h, the number of hours brett and kenny need to work to earn the same amount of money this month? 12.5h + 10 = 75h 75 + 10h = 12.5h how many hours will brett and kenny need to work to earn the same amount of money this month? simplify any fractions. hours

brett and kenny work the same weekend shifts at cool beans coffee co. kenny is a new employee and earns $10 per hour, while brett has more experience and earns $12.50 per hour. kenny also received a $75 bonus at the beginning of the month for joining the company. which equation can you use to find h, the number of hours brett and kenny need to work to earn the same amount of money this month? 12.5h + 10 = 75h 75 + 10h = 12.5h how many hours will brett and kenny need to work to earn the same amount of money this month? simplify any fractions. hours

Answer

Explanation:

Step1: Set up the earnings equations

Kenny's earnings: He earns $10 per hour and has a $75 bonus. So his total earnings ( E_{k}=75 + 10h ). Brett's earnings: He earns $12.50 per hour. So his total earnings ( E_{b}=12.5h ).

Step2: Set the two - earnings equations equal

Since we want to find when they earn the same amount of money, we set ( E_{k}=E_{b} ). So, ( 75+10h = 12.5h ).

Step3: Solve the equation for ( h )

Subtract ( 10h ) from both sides of the equation: ( 75+10h-10h=12.5h - 10h ) ( 75 = 2.5h ) Then divide both sides by ( 2.5 ): ( h=\frac{75}{2.5}=\frac{75\times2}{2.5\times2}=\frac{150}{5}=30 )

Answer:

30 hours