Translate to a system of equations. But do not solve.
A nontoxic floor wax can be made from lemon juice and food-grade linseed oil. The amount of oil should be twice the amount of lemon juice. How much of each ingredient is needed to make 45 ounces of floor wax? Let x represent the number of ounces of lemon juice and y the number of ounces of linseed oil.
The amount of oil should be twice the amount of lemon juice.
y = 2x
How much of each ingredient is needed to make 45 ounces of floor wax?
x+y = 45
To form a system of equations, we need to translate the given information into equations.
1. The amount of oil should be twice the amount of lemon juice:
This can be written as:
y = 2x
2. The total amount of floor wax is 45 ounces:
This can be written as:
x + y = 45
Therefore, the system of equations for this problem is:
y = 2x
x + y = 45