Question

1. in a week, tracy earns $12.45 less than twice the amount kayla earns. tracy earns $102.45. how much does kayla earn?

Explanation:

Step1: Define variables

Let $K$ = Kayla's weekly earnings, $T$ = Tracy's weekly earnings = $\$102.45$

Step2: Set up equation

Translate the relationship: $T = 2K - 12.45$

Step3: Substitute Tracy's earnings

$102.45 = 2K - 12.45$

Step4: Isolate the term with $K$

Add 12.45 to both sides: $102.45 + 12.45 = 2K$
$114.90 = 2K$

Step5: Solve for $K$

Divide by 2: $K = \frac{114.90}{2}$

Answer:

$\$57.45$