Tania bought 4 more pounds of pears than Wilma. Together, Tania and Wilma bought 18 pounds of pears. How many pounds of pears did Wilma buy?
Wilma bought 7 pounds of pears.
Let pounds bought by Wilma be
Then those bought by Tania will be
So we have:
So Wilma bought 7 pounds of pears.
Let Tania's pounds of pears be
Let Wilma's pounds of pears
The first sentence, "Tania bought 4 more pounds of pears than Wilma" can be written as:
The second sentence, "Tania bought 4 more pounds of pears than Wilma" can be written as:
So, the two equations we have are:
Multiply the second equation by
Now, we add both the simultaneous equations:
Now that we have one variable, we can substitute it inside any one of the equations. Let us take the first equation, as
Thus, Tanya has
Thus, Wilma has