# 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?

##### 2 Answers

Wilma bought 7 pounds of pears.

#### Explanation:

Let pounds bought by Wilma be

Then those bought by Tania will be

So we have:

So Wilma bought 7 pounds of pears.

Tanya has

Wilma has

#### Explanation:

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

Since

Thus, Tanya has

Thus, Wilma has