Marta’s math textbook weighs mc017-1.jpg of a pound less than 4 times the weight of the book she is reading for her language arts class. If the weight of the math textbook is mc017-2.jpg pounds, which shows the correct equation and value of x, the weight of Marta’s book for language arts?
Let's represent the weight of Marta's book for language arts as x pounds.
According to the given information, Marta's math textbook weighs "mc017-1.jpg of a pound less than 4 times the weight of the book she is reading for her language arts class".
This can be written as:
Weight of the math textbook = 4x - mc017-1.jpg
Since the weight of the math textbook is mc017-2.jpg pounds, we can set up the equation:
mc017-2.jpg = 4x - mc017-1.jpg
To find the value of x, we need to solve this equation. We can do this by isolating x on one side.
Adding mc017-1.jpg to both sides of the equation:
mc017-2.jpg + mc017-1.jpg = 4x
Combining like terms:
mc017-1.jpg + mc017-2.jpg = 4x
Simplifying:
mc017-3.jpg = 4x
Finally, divide both sides of the equation by 4 to solve for x:
mc017-3.jpg / 4 = x
Therefore, the correct equation and value of x, the weight of Marta's book for language arts, is:
x = mc017-3.jpg / 4.
To solve this problem, we need to set up an equation using the given information.
Let's start by assigning variables:
- Let x represent the weight of Marta's book for language arts.
According to the problem, Marta's math textbook weighs " mc017-1.jpg of a pound less than 4 times the weight of the book she is reading for her language arts class." This can be expressed as:
Weight of math textbook = 4x - mc017-2.jpg
The problem also tells us that the weight of the math textbook is mc017-2.jpg pounds. Substituting this value into our equation, we get:
mc017-2.jpg = 4x - mc017-2.jpg
To solve for x, we need to isolate it on one side of the equation. Let's rearrange the equation:
4x - mc017-2.jpg = mc017-2.jpg
To isolate x, we need to get rid of the "- mc017-2.jpg" term on the left side. We can do this by adding mc017-2.jpg to both sides of the equation:
4x = mc017-2.jpg + mc017-2.jpg
Simplifying this, we get:
4x = 2 * mc017-2.jpg
Now, we can solve for x by dividing both sides of the equation by 4:
x = (2 * mc017-2.jpg) / 4
Simplifying further:
x = mc017-2.jpg / 2
Therefore, the correct equation and value of x, the weight of Marta’s book for language arts, is x = mc017-2.jpg / 2.