Question

1. samantha is remodeling her bathroom. she bought a sink for $134.36, a shower/tub combination for $616.32, a toilet for $238.89, a vanity for $389.21, faucets for $250.50, a mirror for $85.40, and a shower curtain for $25.05. she bought everything at the same store and paid a 7% sales tax. how much did she spend on her bathroom? $1,617.95 $1,739.73 $1,861.51 $1,836.45

Explanation:

Step1: Calculate the total cost of items before tax

First, we sum up the prices of all the items.
\[

$$\begin{align*} &134.36 + 616.32 + 238.89 + 389.21 + 250.50 + 85.40 + 25.05\\ =& (134.36 + 616.32) + (238.89 + 389.21) + (250.50 + 85.40) + 25.05\\ =& 750.68 + 628.1 + 335.9 + 25.05\\ =& (750.68 + 628.1) + (335.9 + 25.05)\\ =& 1378.78 + 360.95\\ =& 1739.73 \end{align*}$$

\]

Step2: Calculate the total cost including tax

The sales tax is 7%, so the total cost is the pre - tax total multiplied by \(1 + 0.07\) (since we are paying 100% of the pre - tax cost plus 7% tax).
\[1739.73\times(1 + 0.07)=1739.73\times1.07\]
\[1739.73\times1.07 = 1739.73+1739.73\times0.07\]
\[1739.73\times0.07 = 121.7811\]
\[1739.73+121.7811 = 1861.5111\approx1861.51\]

Answer:

\(\$1,861.51\) (corresponding to the option: \(\$1,861.51\))