Chloe's family ate dinner at a restaurant and the bill was \( \$ 86 \). If sales tax was \( 7.5 \% \) and they tipped \( 20 \% \) of the original bill, what was the total amount that Chloe's family paid for dinner?

To calculate the total amount Chloe's family paid, first, we need to figure out the sales tax and the tip. The sales tax on an \( \$ 86 \) bill is \( 7.5\% \) of \( 86 \): \[ \text{Sales Tax} = 0.075 \times 86 = 6.45 \] Next, the tip, which is \( 20\% \) of the original bill: \[ \text{Tip} = 0.20 \times 86 = 17.20 \] Now, we sum the original bill, the sales tax, and the tip to find the total amount paid: \[ \text{Total Amount} = 86 + 6.45 + 17.20 = 109.65 \] Chloe's family paid a total of \( \$ 109.65 \) for dinner.