Question

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

Answer 1

The correct option is C.

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

`x+(5)/(100)x=3.15`

`x+0.05x=3.15`

`1.05x=3.15`

Divide both sides by 1.05.

`x=(3.15)/(1.05)`

`x=3`

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

Therefore, the correct option is C.

Answer 2

C.

x + 0.05x = 3.15, which has one solution

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