Question

A leather jacket costs $105 more than twice the price of a cloth jacket. Together they cost $342.what is the cost of each one?

Answer 1

`color(magenta)(C"ost of cloth jacket is $79 and Cost of leather jacket is $263."`

Explanation:

`"Let the cost of the cloth jacket be"= $x`

`"Cost of leather jacket"=2x+$105`

`"According to question,"`

`x+2x+105=342`

`3x+105=342`

`3x=342-105`

`3x=237`

`x=237/3`

`x=79`

`C"ost of leather jacket"=2x+$105`

`=2(79)+$105`

`=158+$105`

`=$263`

`therefore` `color(magenta)(C"ost of cloth jacket is $79 and Cost of leather jacket is $263."`

`-"Hope this helps! :)"`

Answer 2

A cloth jacket costs `$79`

Leather jacket costs `$263`

`$263+$79 = $342`

Explanation:

Let the cost of the cloth jacket be `$x`

The price of a leather jacket is twice that, with `$105` more.

Leather jacket costs-: `2x+105`

Cost together: `x + 2x +105 = 342`

`3x = 342-105`

`3x = 237`

`x =79`

A cloth jacket costs `$79`

Leather jacket = `2 xx$79+$105 =$263`

Check: `$263+$79 = $342`