## Do These Add Up?

For each of the following word problems, determine whether or not $(\frac25 + \frac{3}{10})$ represents the problem. Explain your decision.

A farmer planted $\frac25$ of his forty acres in corn and another $\frac{3}{10}$ of his land in wheat. Taken together, what fraction of the 40 acres had been planted in corn or wheat?

Jim drank $\frac25$ of his water bottle and John drank $\frac{3}{10}$ of his water bottle. How much water did both boys drink?

Allison has a batch of eggs in the incubator. On Monday $\frac25$ of the eggs hatched, By Wednesday, $\frac{3}{10}$ more of the original batch hatched. How many eggs hatched in all?

Two fifths of the cross-country team arrived at the weight room at 7 a.m. Ten minutes later, $\frac{3}{10}$ of the team showed up. The rest of the team stayed home. What fraction of the team made it to the weight room that day?

Andy made 2 free throws out of 5 free throw attempts. Jose made 3 free throws out of 10 free throw attempts. What is the fraction of free throw attempts that the two boys made together?

Two fifths of the students in the fifth grade want to be in the band. Three tenths of the students in the fifth grade want to play in the orchestra. What fraction of the students in the fifth grade want to be in one of the two musical groups?

There are 150 students in the fifth grade in Washington Elementary School. Two fifths of the students like soccer best and $\frac{3}{10}$ of them like basketball best. What fraction like soccer or basketball best?

The fifth grade at Lincoln School has two mixed-sex soccer teams, Team A and Team B. If $\frac25$ of Team A are girls and $\frac{3}{10}$ of Team B are girls, what fraction of the players from the two teams are girls?

Wesley ran $\frac25$ of a mile on Monday and $\frac{3}{10}$ of a mile on Tuesday. How far did he run those two days?

## Comments

Log in to comment## Alexia says:

about 1 yeari really like this task!

## Tricia says:

about 3 yearsThis was a great task to do with my class of preservice teachers. They had to think more carefully about the wording of the question and its implication for solution paths as well as how to clarify misconceptions for themselves and their future students.

## Cam says:

about 3 yearsExcellent! Thanks very much for the feedback.