Question

Matt wants to buy a television. If he

Answer 1

Answer:

The cost of the television is $\ 294$

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

$100\%-7\%=93\%=93/100=0.93$

so

The cost is 0.93x

If Matt pays with a loan

then

$100\%+10\%=110\%=110/100=1.1$

so

The cost is 1.1x

The difference  between the two methods is

$1.1x-0.93x=0.17x$

Remember that

The difference  between the two methods is $49.98

so

$0.17x=49.98$

Solve for x

$x=\ 294$