Respuesta :

Answer

Find out the  what was his total cost .

To prove

As given

A tent was marked up 150% from an original cost of $52.

Last Friday, Ethan bought the tent and paid an additional 10% in sales tax.

Than the equation becomes

150 % is written in the decimal form .

[tex]=\frac{150}{100}[/tex]

= 1.5

10 % is written in the decimal form .

[tex]=\frac{10}{100}[/tex]

= 0.1

cost of the tent when 150% marked up from origianl price = 1.5× 52

                                                                                                = $ 78


cost of the tent = origianl cost + 150% marked up from origianl price

                                  =  $52 + $78

                                  = $ 130

Sales price on the tent = $130 × 0.1

                                      = 13

Total cost of the tent = $130 + $13

                                  = $143

Therefore the cost of the tent is $143.

Answer: The total cost of a tent is $85.8.

Explanation:

Since we have given that

Original price of a tent = $52

Mark-up percent = 150%

So, marked price becomes

[tex]\frac{150}{100}\times 52\\\\=\frac{3}{2}\times 52\\\\=3\times 26\\\\=\$78[/tex]

Now, he paid an additional 10% in sales tax.

So, final cost becomes

[tex]\frac{100+10}{100}\times 78\\\\=\frac{110}{100}\times 78\\\\=\frac{11}{10}\times 78\\\\=\frac{858}{10}\\\\=\$85.8[/tex]

So, the total cost of a tent is $85.8.