Question

Billy has $25 and makes $5/hour mowing lawns. Tamika has $30 and makes $4/hour babysitting. When will they have the same amount of money? Write and equation and solve it to find out when they have the same amount.

Answer 1

Billy and Tamika will have the same amount of money after 5 hours.

Step-by-step explanation:

To find out when Billy and Tamika will have the same amount of money, we can set up an equation representing their respective amounts, and then solve for the unknown time.

Let x represent the time in hours:

For Billy: Amount = $25 + ($5/hour) * x

For Tamika: Amount = $30 + ($4/hour) * x

To find the time when they have the same amount, we can set the two equations equal to each other and solve for x:

$25 + ($5/hour) * x = $30 + ($4/hour) * x

Subtracting ($4/hour) * x from both sides gives us:

$25 + ($5/hour) * x - ($4/hour) * x = $30

Simplifying gives us:

$25 + $x = $30

Subtracting $25 from both sides gives us:

$x = $5

Therefore, Billy and Tamika will have the same amount of money after 5 hours.