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Lucy bought a doormat for $7 and some placemats for $2 each. Her total average cost per item was $3. Create a rational equation, and determine how many placemats she bought.

Respuesta :

frika

Answer:

Lucy bought 4 placemats.

Step-by-step explanation:

Let n be the number of placemats Lucy bought.

1 doormat = $7

1 placemat = $2

n placemats = $2n

Total = $(7+2n)

Total number of objects bought = n+1

Average [tex]=\dfrac{\$(7+2n)}{n+1}[/tex]

So,

[tex]\dfrac{\$(7+2n)}{n+1}=\$3[/tex]

Solve this equation:

[tex]7+2n=3(n+1)\\ \\7+2n=3n+3\\ \\3n-2n=7-3\\ \\n=4[/tex]

Hence, Lucy bought 4 placemats.

salomonmoreno001

Answer:

4

Step-by-step explanation:

is the answer