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Joshua sells a pack of pens for $3.15, which is 5 percent more than he pays for them. Which equation will help find x, the amount he pays for a pack of pens? How many solutions will this equation have?
A.
x + 0.05x = 3.15, which has infinitely many solutions
B.
x + 0.5x = 3.15, which has one solution
C.
x + 0.05x = 3.15, which has one solution
D.
0.05x = 3.15, which has no solution

Respuesta :

wegnerkolmp2741o

Answer:

C.  

x + 0.05x = 3.15, which has one solution

Step-by-step explanation:

Let x = the price Joshua pays for the pack of pens

He add 5% (=.05 in decimal form)

That is x* .05

The new cost is 3.15

x+.05x = 3.15

This will have one solution

Answer:

The correct option is C.

Step-by-step explanation:

It is given that Joshua sells a pack of pens for $3.15, which is 5 percent more than he pays for them.

Selling price of a pack of pens = $3.15

Let x be the amount he pays for a pack of pens.

x + 5% of x = 3.15

It can be written as

[tex]x+\frac{5}{100}x=3.15[/tex]

[tex]x+0.05x=3.15[/tex]

[tex]1.05x=3.15[/tex]

Divide both sides by 1.05.

[tex]x=\frac{3.15}{1.05}[/tex]

[tex]x=3[/tex]

The required equation is x+0.05x=3.15 and this equation has one solution.

Therefore, the correct option is C.