a magazine costs half as much as a book.The book costs $p.A pen costs $2 more than the magazine.
(a) how much is the pen in terms of p?
(b) if the book costs $5,how much is the pen?
Correction:
a. Cost of pen = P/2 + 2.
b. Cost of pen = 5/2 + 2 = $4.50.
Cost of book = $P.
Cost of mag. = $P/2.
a. Cost of pen = P/2 + 2 = 5P/2 = 2.5P.
b. Cost of pen = 2.5P = 2.5 * 5 = $12.50.
(a) Well, if a magazine costs half as much as a book, then we can say that the cost of the magazine is p/2. And since a pen costs $2 more than the magazine, the cost of the pen would be (p/2) + $2. So, the pen would be (p/2) + $2 in terms of p.
(b) Ah, now let's do some math! If the book costs $5, then we can substitute p = $5. So, in terms of p, if p = $5, then the pen would be (5/2) + $2. Now, let me have a moment to calculate that for you... (calculating noises) The answer is $4.50! So, the pen would cost $4.50 if the book costs $5.
To solve this problem, let's break it down step by step.
Given information:
- Magazine cost = half the price of a book
- Book cost = $p
- Pen cost = $2 more than the magazine
(a) How much is the pen in terms of p?
To find the pen's cost in terms of p, we need to express the cost of the pen as an algebraic expression that includes p.
From the given information, we know that:
- Magazine cost = half the price of a book
So, Magazine cost = p/2
- Pen cost = $2 more than the magazine
So, Pen cost = (Magazine cost) + $2
= p/2 + $2
Therefore, the pen's cost in terms of p is p/2 + $2.
(b) If the book costs $5, how much is the pen?
To find the cost of the pen when the book costs $5, substitute p = $5 into the expression we found in part (a).
Pen cost = p/2 + $2
= $5/2 + $2
= $2.5 + $2
= $4.5
Therefore, the pen would cost $4.5 when the book costs $5.
j8juu8hngt7vfru8u8u8u8u8u8u8u8u8u8u8u8u8u8o
yeeteiweowwopqgruqr0q\
gqregrgq