I have a coil of steel that is 48 inches wide. The weight of the coil is 10.800 kegs. If I cut the coil a width of 0.5 inches how much will the 0.5 inch coil weigh. Can you show me an example on how to figure this problem out.

0.1125 kg

Step-by-step explanation:

Step 1:

Let us assume that 48 inches of coil of steel weighs 10.800 kg.

We have to find the weight of 0.5 inch coil.

Step 2:

In this problem we assume that it is given in direct relationship.

Therefore, Problem becomes

48 inches weigh 10.8 kg

0.5 inches weigh X kg

(48 / 0.5) = ( 10.8 / X)

X =  (10.8 × 0.5) / 48

X =  0.1125 kg

The two numbers are 12 and 26

Step-by-step explanation:

let the first number = a

let the second number = b

The ratio of the numbers is given as;

-------- (1)

The lcm of the two numbers is given as;

a x b = 312

ab = 312 --------- (2)

From equation (1),

Therefore, the two numbers are 12 and 26