Question

multiple choice 1 point
shonda has $73.28 more than jane. together they have $130.30. how much money does shonda have?
○ $87.28
○ $117.27
○ $101.79
○ $65.15
clear my selection

Explanation:

Step1: Define variables

Let $J$ be the amount of money Jane has, and $S$ be the amount Shonda has. We know that $S = J + 73.28$ and $S + J = 130.30$.

Step2: Substitute $S$ in the second equation

Substitute $S = J + 73.28$ into $S + J = 130.30$. We get $(J + 73.28) + J = 130.30$.

Step3: Simplify the equation

Combine like terms: $2J + 73.28 = 130.30$.

Step4: Solve for $J$

Subtract $73.28$ from both sides: $2J = 130.30 - 73.28 = 57.02$. Then divide by 2: $J = \frac{57.02}{2} = 28.51$.

Step5: Solve for $S$

Since $S = J + 73.28$, substitute $J = 28.51$: $S = 28.51 + 73.28 = 101.79$.

Answer:

\$101.79 (Option: \$101.79)