6 notebooks cost the same amount as 8 pens. each notebook costs 3.50 mote than each pen. How much does each pen cost?
6n = 8p or n = 4p/3
n = p+3.5
4p/3 = p + 3.5
times 3
4p = 3p + 10.5
p = 10.5
I have the same question as Lion, can someone give a answer!
To find out how much each pen costs, we need to set up and solve an equation using the given information.
Let's assume the cost of each pen is x dollars.
According to the problem, 6 notebooks cost the same as 8 pens. Therefore, the cost of 6 notebooks is equal to the cost of 8 pens. We can express this as an equation:
6 * (cost of each notebook) = 8 * (cost of each pen)
Since we know that each notebook costs $3.50 more than each pen, we can rewrite the equation as:
6 * (x + $3.50) = 8 * x
Now we can solve the equation step by step:
6x + 6 * $3.50 = 8x
Multiply:
6x + $21 = 8x
Subtract 6x from both sides:
$21 = 2x
Divide both sides by 2 to isolate x:
$21/2 = x
Simplifying:
$10.50 = x
Therefore, each pen costs $10.50.