a new compound composed of just Hex-Nuts and bolts is formed.A 13.7 Kg sample of the new compound is separated into its component elements with the following result 3.84 kg. of hex-nuts and 9.90 kg of bolts.
1. How many hex-nuts are present in the 13.7 kg sample
2. how many bolts are formed
3. What is the ratio of hex-nuts to bolts in the new compound
4. Write this as a formula BxNy, where x and y are the ratio you determine in the calculations
reduce answer to the lowest whole number ratio
To answer these questions, we need to use the given information and perform some calculations.
1. To find the number of hex-nuts present in the 13.7 kg sample, we divide the mass of hex-nuts (3.84 kg) by the mass of one hex-nut. Let's assume the mass of one hex-nut is 'A' kg.
Number of hex-nuts = mass of hex-nuts / mass of one hex-nut
Number of hex-nuts = 3.84 kg / A kg
2. Similarly, to find the number of bolts formed, we divide the mass of bolts (9.90 kg) by the mass of one bolt. Let's assume the mass of one bolt is 'B' kg.
Number of bolts = mass of bolts / mass of one bolt
Number of bolts = 9.90 kg / B kg
3. To calculate the ratio of hex-nuts to bolts, we divide the number of hex-nuts by the number of bolts:
Ratio of hex-nuts to bolts = Number of hex-nuts / Number of bolts
Ratio of hex-nuts to bolts = (3.84 kg / A kg) / (9.90 kg / B kg)
4. To write this as a formula, we substitute x for A and y for B, representing the ratio of hex-nuts to bolts:
Formula: BxNy
Now, to reduce the answer to the lowest whole number ratio, you can divide both the numerator and denominator of the ratio by their greatest common divisor (GCD). This will give you the simplified ratio in its lowest terms.