Consider a restaurant which mixes sugar and cinnamon to sprinkle on deserts.
The cost of sugar is given to be $1.10 kg cost of cinnamon is given to be $3.60 kg
The objective of the problem is to find the mass that is required to make 50 kg of mixture which could costs $1.85 kg
Let x be the mass of sugar required and y be the mass of the cinnamon required.
Since 50 kg of mixture is required, the first equation is,
A total mixture of 50 kg costing $1.85 kg is required. So, the second equation is,
Simplify this equation.
Multiply the equation by 100 to eliminate decimals.
Multiply equation (1) by 75 and subtract equation (2) from equation (1).
Therefore, 35 kg of sugar and 15 kg of cinnamon is required to make a mixture of 50kg.
According to a study by Dr. John McDougall of his live-in weight loss program at St. Helena Hospital, the people who follow his program lose between 6 and 15 pounds a month until they approach trim body weight. Let's suppose that the weight loss is uniformly distributed. We are interested in the weight loss of a randomly selected individual following the program for one month. Give the distribution of X. Enter an exact number as an integer, fraction, or decimal.