Question

Help! please!!!!!!!
After a discount of 20%, the price of a pair of shoes, including tax, is $66.91. The following equation can be used to find x, the price of the pair of shoes without the discount:

x - 0.2x + 0.06(x - 0.2x) = 66.91

What is the price of the pair of shoes without the discount?

$67.76

$71.18

$78.90

$88.04

Answer 1

@gorv @shinalcantara

Answer 2

add all the term having x

Answer 3

x-0.2x=0.8x

Answer 4

0.8x+0.06*0.8x=66.91

Answer 5

0.8x+0.048x=66.91
0.848x=66.91

Answer 6

x=66.91/0.848

Answer 7

\(x - 0.2x + 0.06(x - 0.2x) = 66.91\)

Solve the equation:

\(x - 0.2x + 0.06(x - 0.2x) = 66.91\)

Distribute:

\(x - 0.2x + 0.06x - 0.012x = 66.91\)

Subtract:

\(0.8x + 0.06x - 0.012x = 66.91\)

Add:

\(0.86x - 0.012x = 66.91\)

Subtract:

\(0.848x = 66.91\)

Divide 0.848 to both sides:

\(x \approx 78.90\)

Answer 8

thanks!