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Matt wants to buy a television. If he
pays cash, he gets a discount of 7%.
If he pays with a loan he has to pay an
extra 10% in interest. The difference
between the two methods is $49.98.
Find the cost of the television, au

Respuesta :

calculista

Answer:

The cost of the television is [tex]\$294[/tex]

Step-by-step explanation:

Let

x -----> the cost of the television in dollars

we know that

The cost of the television represent 100%

If Matt  pays cash

then

[tex]100\%-7\%=93\%=93/100=0.93[/tex]

so

The cost is 0.93x

If Matt pays with a loan

then

[tex]100\%+10\%=110\%=110/100=1.1[/tex]

so

The cost is 1.1x

The difference  between the two methods is

[tex]1.1x-0.93x=0.17x[/tex]

Remember that

The difference  between the two methods is $49.98

so

[tex]0.17x=49.98[/tex]

Solve for x

[tex]x=\$294[/tex]

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