A pencil and a ruler cost $1.50 together. The ruler costs $1.00 more than the pencil. How much does the pencil cost?

The price of the pencil is $0.25.

To arrive at this conclusion, divide 1.50 by 2 to get 0.75, then deduct 0.5, yielding 0.25. The ruler would be $0.75 plus $0.5, making it $1.25, and the pencil would be $0.75 minus $0.5, totaling $1.50.

Alternatively, you can establish an equation. Let r represent the ruler's cost and p the pencil's. The equations would be:
r + p = 1.50
r = p + 1.00
By substituting (p + 1.00) into the first equation for r, we get:
p + 1.00 + p = 1.50
Simplifying gives:
2p + 1.00 = 1.50
Subtracting 1.00 from both sides results in:
2p = 0.50
Dividing both sides by 2 leads to:
p = 0.25
Thus, the pencil is priced at $0.25.

Hope this clarifies things!:)

Answers:

The pencil is priced at $0.25

The ruler costs $1.25

Explanation:

Let x denote the price of the pencil and y the price of the ruler.

We have:

1- The combined cost amounts to $1.5

This implies:

x + y = 1.5...........> equation I

2- The ruler is priced $1 more than the pencil

This implies:

y = x + 1............> equation II

Now, substitute equation II into equation I and solve for x:

x + y = 1.5

x + x + 1 = 1.5

2x = 1.5 - 1

2x = 0.5

This indicates that:

pencil price = x = $0.25

ruler price = 1 + 0.25 = $1.25

Hope this is helpful!:)