Mathematics, 19.08.2019 20:30 penaabel6202

Apencil and a ruler cost $1.50 together. the ruler costs $1.00 more than the pencil. how much does the pencil cost?

Answers: 2

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Answers

The pencil costs $0.25.

One way to deduce this is to divide 1.50 by 2 (equaling 0.75) and then subtracting .5 to get 0.25 because if it's $1 more, then the ruler would cost 0.75 + 0.5 and the pencil would cost 0.75 - 0.5, making a total of $1.50.

Another way is to make it an equation. Let's say the ruler is r dollars and the pencil is p dollars.
r + p = 1.50
r = p + 1.00
If we know these two equations, then you can substitute p + 1.00 in the 1st equation (instead of r). This gets us:
p + 1.00 + p = 1.50
You can simplify this into:
2p + 1.00 = 1.50
Then you subtract 1.00 from both sides:
2p = 0.50
And you divide 2 from both sides:
p = 0.25
Getting you the answer of:
The pencil costs $0.25

Hope this helps! :)

Answer from: faithtunison

Answers:

The pencil costs $0.25

The ruler costs $1.25

Explanation:

Assume that the cost of the pencil is x and that the cost of the ruler is y.

We are given that:

1- The total cost is $1.5

This means that:

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

2- The ruler costs $1 more than the pencil

This means that:

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

Substitute with equation II in equation I and solve for x as follows:

x + y = 1.5

x + x + 1 = 1.5

2x = 1.5 - 1

2x = 0.5

$x = \frac{0.5}{2} = 0.25$

This means that:

cost of pencil = x = $0.25

cost of ruler = 1 + 0.25 = $1.25

Hope this helps :)

Answer from: Quest

change of stock price/initial stock price on friday * total stock value = change of stock value

0.89/73.73 *x = 42.72

x=3539.04 = total stock value at initial stock price on friday .

total stock value at initial stock price on friday/ initial stock price on friday = number of shares

3539.04/73.73 = 48 shares

they own 48 shares of this stock

Answer from: Quest

3.08 cm. you would divide 12.32 cm by 4, because there are 4 sides on a square, and each side is the same length

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Apencil and a ruler cost $1.50 together. the ruler costs $1.00 more than the pencil. how much does t...