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Terry had his car repaired at Ace Auto He was charged 50 per hour of labor plus 150 for parts.

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Terry had his car repaired at Ace Auto He was charged 50 per hour of labor plus 150 for parts.

Terry had his car repaired at Ace Auto He was charged 50 per hour of labor plus 150 for parts.

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ZaneVeteran · Tutor for 10 years

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### Terry was charged for \( 4.5 \) hours of labor.

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## Step 1: Define variables and set up the equation<br />### Let \( h \) be the number of hours of labor. The cost per hour is \( \$50 \). The total cost for labor is \( 50h \), and the cost for parts is \( \$150 \). The total bill before tax is \( \$375 \). Therefore, the equation is set up as: \( 50h + 150 = 375 \).<br /><br />## Step 2: Isolate the variable \( h \)<br />### Subtract \( 150 \) from both sides to isolate the term involving \( h \): <br />\[ 50h = 375 - 150 \]<br /><br />## Step 3: Solve the equation<br />### Simplify the right side of the equation:<br />\[ 50h = 225 \]<br />### Divide both sides by 50 to get \( h \):<br />\[ h = \frac{225}{50} \]<br /><br />## Step 4: Simplify the fraction<br />### Simplify \( \frac{225}{50} \):<br />\[ h = 4.5 \]
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