## Engage NY Eureka Math 5th Grade Module 3 Mid Module Assessment Answer Key

### Eureka Math Grade 5 Module 3 Mid Module Assessment Task Answer Key

Question 1.

Lila collected the honey from 3 of her beehives. From the first hive, she collected \(\frac{2}{3}\) gallon of honey. The last two hives yielded \(\frac{1}{4}\) gallon each.

a. How many gallons of honey did Lila collect in all? Draw a diagram to support your answer.

b. After using some of the honey she collected for baking, Lila found that she only had \(\frac{3}{4}\) gallon of honey left. How much honey did she use for baking? Support your answer using a diagram, numbers, and words.

c. With the remaining \(\frac{3}{4}\) gallon of honey, Lila decided to bake some loaves of bread and several batches of cookies for her school bake sale. The bread needed \(\frac{1}{6}\) gallon of honey and the cookies needed \(\frac{1}{4}\) gallon. How much honey was left over? Support your answer using a diagram, numbers, and words.

d. Lila decided to make more baked goods for the bake sale. She used \(\frac{1}{8}\) lb less flour to make bread than to make cookies. She used \(\frac{1}{4}\) lb more flour to make cookies than to make brownies. If she used \(\frac{1}{2}\) lb of flour to make the bread, how much flour did she use to make the brownies? Explain your answer using a diagram, numbers, and words.

Answer:

a.

Fraction of honey collected from first Hive = \(\frac{2}{3}\) gallon

Fraction of honey collected second and third hives = 2 × \(\frac{1}{4}\) = \(\frac{1}{2}\) .

Total Honey collected = \(\frac{2}{3}\) + \(\frac{1}{4}\) + \(\frac{1}{4}\) = \(\frac{2}{3}\) + \(\frac{1}{2}\) = \(\frac{4}{6}\) + \(\frac{3}{6}\) = \(\frac{7}{6}\) = 1 \(\frac{1}{6}\)

Therefore, The total Honey collected = 1 \(\frac{1}{6}\) gallon.

b.

Fraction of Honey left after baking = \(\frac{3}{4}\) gallon

Fraction of Honey used for baking = \(\frac{7}{6}\) – \(\frac{3}{4}\) = \(\frac{14}{12}\) – \(\frac{9}{12}\) = \(\frac{5}{12}\).

Therefore, Fraction of Honey used for baking = \(\frac{5}{12}\) gallon .

c.

Fraction of honey needed for bread = \(\frac{1}{6}\) gallon

Fraction of honey needed for cookies = \(\frac{1}{4}\) gallon

Fraction of honey left = \(\frac{3}{4}\) – \(\frac{1}{4}\) – \(\frac{1}{6}\) = \(\frac{1}{2}\) – \(\frac{1}{6}\) = \(\frac{3}{6}\) – \(\frac{1}{6}\) = \(\frac{2}{6}\) = \(\frac{1}{3}\) .

d.

Fraction of flour used to bake bread = \(\frac{1}{2}\) lb

Fraction of flour used to make cookies = \(\frac{1}{8}\) lb + \(\frac{1}{2}\) lb = \(\frac{1+4}{8}\) lb = \(\frac{5}{8}\) lb

Fraction of flour used to make brownies =\(\frac{1}{4}\) – \(\frac{1}{8}\) = \(\frac{2- 1 }{8}\) = \(\frac{1}{8}\) lb .