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Question
sales fadil sells televisions. he earns a fixed amount for each television and an additional $20 if the buyer gets an extended warranty. if fadil sells 19 televisions with extended warranties, he earns $1,330. how much is the fixed amount fadil earns for each television?
the fixed amount fadil earns for each television he sells is $
Step1: Define fixed amount variable
Let $x$ = fixed amount per television.
Step2: Set up total earnings equation
Total earnings = (fixed per TV + bonus) × number of TVs
$\$1330 = (x + \$20) \times 19$
Step3: Isolate the parenthetical term
Divide both sides by 19:
$\frac{1330}{19} = x + 20$
$70 = x + 20$
Step4: Solve for x
Subtract 20 from both sides:
$x = 70 - 20$
$x = 50$
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$\$50$