A book cost $15 more than a magazine.
Let x represent in $ the cost of the magazine.
[i] write an expression in terms of x to represent the cost of the book.
The cost of 4 magazines and 2 books is $48.00
[ii] write an equation in terms of x to represent this information.
[iii] solve the equation in[ii]
[iv] what is the cost of the magazine
book = x+15
4x + 2(x+15) = 48
x=3
To find the expression for the cost of the book, we know that the book costs $15 more than the magazine. So, the expression in terms of x (representing the cost of the magazine) would be x + $15.
For the equation representing the cost of 4 magazines and 2 books being $48.00, we can set up the equation as:
4x + 2(x + $15) = $48.00
To solve this equation, we simplify it by distributing the 2 to the terms inside the parentheses:
4x + 2x + $30 = $48.00
Combining like terms, we get:
6x + $30 = $48.00
Next, we isolate the variable term by subtracting $30 from both sides:
6x = $48.00 - $30
6x = $18.00
Finally, we solve for x by dividing both sides of the equation by 6:
x = $18.00 / 6
x = $3.00
So, the cost of the magazine is $3.00.
Now, if you substitute x = $3.00 back into the expression x + $15, you will find the cost of the book:
$3.00 + $15 = $18.00
Therefore, the cost of the magazine is $3.00 and the cost of the book is $18.00.