Kerry’scomputerkeyboardis18incheslongand6 inches wide. Tim’s keyboard has the same lengthto-width ratio as Kerry’s. Tim’s keyboard is 12 inches long. How wide is Tim’s keyboard?
A- 4 in
B- 9 in
C- 15in
D- 36in
Please help I am really confused.
I found it out and by the way its A
yes answer A is correct.
length / width ratio =18 / 6 = 3
12 in / w = 3
w = 4 in
To find the width of Tim's keyboard, we can set up a proportion using the length-to-width ratio of Kerry's keyboard.
The length-to-width ratio of Kerry's keyboard is 18 inches long and 6 inches wide. We can represent this as a fraction: 18/6.
Since Tim's keyboard has the same length-to-width ratio as Kerry's and we know its length is 12 inches, we can set up the following proportion:
18/6 = 12/x
To solve for x (the width of Tim's keyboard), we can cross-multiply:
18x = 6 * 12
18x = 72
Now, divide both sides of the equation by 18 to isolate x:
x = 72/18
Simplifying:
x = 4
Therefore, the width of Tim's keyboard is 4 inches.
So the correct answer is Option A: 4 inches.