In a mixture of concrete, there are four lb of cement mix for each pound of gravel. If the mixture contains a total of 185 lb of these two ingredients, how many pounds of grave are there?
In five pounds, there are 1 lb gravel
lbsgravel=1/5 * 185
To find the amount of gravel in the mixture, we need to determine the ratio of cement mix to gravel. From the given information, we know that the mixture has four pounds of cement mix for every one pound of gravel.
Let's set up an equation to represent the relationship between the cement mix and the gravel. Let x represent the amount of gravel in pounds.
Since there are four pounds of cement mix for every one pound of gravel, the amount of cement mix in pounds would be 4x.
According to the problem, the total weight of the mixture is 185 pounds. Therefore, the sum of cement mix and gravel must be equal to 185 pounds:
4x + x = 185
Simplifying the equation:
5x = 185
To isolate x, divide both sides of the equation by 5:
x = 185/5
Evaluating the expression:
x = 37
Therefore, there are 37 pounds of gravel in the mixture.