Question

a large painting has a length of 18 inches and width of 12 inches. If each dimension is reduced by x inches to make the ratio of length to width 5 to 3, what is the value of x

Answer 1

Answer:

The value of x = 3.

Step-by-step explanation:

The ratio between length and width is given by:

$\frac{L}{W}=\frac{5}{3}$

Where:

• L represents the new length
• W represents the new width

Now, we know that each dimension is reduced by x inches, it means:

$L=18-x$

$W=12-x$

Then, we will have:

$\frac{18-x}{12-x}=\frac{5}{3}$

Finally, we just need to solve it for x.  

$3(18-x)=5(12-x)$

$5x-3x=60-54$

$2x=6$

$x=3$

Therefore, the value of x = 3.

I hope it helps you!