A ruler is 10 cents more than a pencil. If 2 rulers and 5 pencil costs 3.70 dollars, how much is the cost for a single pencil?

5p + 2(p+10) = 370

Thks

To find the cost of a single pencil, we can set up a system of equations based on the given information. Let's say the cost of a pencil is x cents.

According to the problem, a ruler is 10 cents more than a pencil. So, the cost of a ruler would be (x + 10) cents.

We also know that 2 rulers and 5 pencils combined cost $3.70. Converting the dollars to cents, we have 370 cents.

The equation for the cost of the rulers can be written as:
2(ruler's cost) = 2(x + 10) cents

The equation for the cost of the pencils can be written as:
5(pencil's cost) = 5x cents

Now we can set up the equation for the total cost:
2(x + 10) + 5x = 370

Simplifying this equation will allow us to solve for x, which represents the cost of a single pencil.