# I came across this sum in the Unitary Method With Fractions exercise in my Math Textbook. What am I supposed to do here?

##
Last week we picked 1/3 of our grapes and this week we picked 1/4 of them. So far we have picked 3682 kg of grapes. What is the total weight of grapes we expect to pick?

Last week we picked 1/3 of our grapes and this week we picked 1/4 of them. So far we have picked 3682 kg of grapes. What is the total weight of grapes we expect to pick?

##### 2 Answers

#### Explanation:

Let

Last week we picked

This week we picked

Over these two weeks we have picked

To solve, multiply both sides of the equation by the common denominator 12 (

Distribute

Combine like terms

Divide both sides by 7

Find what 1 part is, then find the value of ALL the parts:

#### Explanation:

The "Unitary method" means to find out what ONE part represents.

**Unit = one** .

What fraction of grapes have been picked altogether so far?

=

If

Then