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
What are your choices? What is your answer?
To find the equation that helps find the amount Joshua pays for a pack of pens, let's define the variable x as the cost price of the pens.
Since he sells the pack for $3.15, which is 5 percent more than he pays, we can express this relationship as:
x + (5/100) * x = 3.15
Simplifying the equation, we have:
(1 + 5/100) * x = 3.15
(105/100) * x = 3.15
Multiplying both sides by (100/105), we get:
x = (3.15 * 100) / 105
Simplifying further, we have:
x = 3 * 100 / 105
x = 300 / 105
x ≈ 2.8571
So, the equation that helps find x is (105/100) * x = 3.15, and the value of x is approximately $2.8571.
This equation will have only one solution.
To find the equation that will help us find the amount Joshua pays for a pack of pens, let's set up the equation using the given information:
Let x be the amount Joshua pays for a pack of pens.
According to the problem, the pack of pens is sold for $3.15, which is 5 percent more than what Joshua pays for them. When we say an amount is "x percent more" than another amount, it means the original amount plus x percent of the original amount.
So, the equation will be:
x + 0.05x = 3.15
Simplifying the equation, we get:
1.05x = 3.15
To solve for x, we divide both sides of the equation by 1.05:
x = 3.15 / 1.05
x ≈ 3
Therefore, Joshua pays approximately $3 for a pack of pens.
Since this equation is linear, it will have exactly one solution.