Eureka Math Grade 5 Module 3 Mid Module Assessment Answer Key

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.
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-1-a
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 .
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-1-b
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 = \(\frac{3}{4}\) – \(\frac{1}{4}\) – \(\frac{1}{6}\) = \(\frac{1}{2}\) – \(\frac{1}{6}\) = \(\frac{3}{6}\) – \(\frac{1}{6}\) = \(\frac{2}{6}\) = \(\frac{1}{3}\) .
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-1-c
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 .
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-1-d

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