Question

irene starts with $50 in her bank account, and she earns $12 per hour babysitting. malik starts with $14 in his bank account, and he earns $15 per hour mowing lawns. they both put the money they earn directly into their accounts. the variable t represents the number of hours they worked. after how many hours of work will irene and malik have the same total amount of money in their accounts? how much money will they have at that time? use the equation to solve for t to find how many hours irene and malik will need to work to have an equal amount of money. irene’s total dollars after t hours: 50 + 12t malik’s total dollars after t hours: 14 + 15t 50 + 12t = 14 + 15t t = \boxed{}

Explanation:

Step1: Set equations equal

$50 + 12t = 14 + 15t$

Step2: Isolate t terms

$50 - 14 = 15t - 12t$

Step3: Simplify both sides

$36 = 3t$

Step4: Solve for t

$t = \frac{36}{3}$

Step5: Calculate total money

Substitute $t=12$ into $50+12t$: $50 + 12\times12$

Answer:

Number of hours: $t = 12$
Total money at that time: $\$194$