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

## Engage NY Eureka Math 5th Grade Module 3 Mid Module Assessment 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.
a.
Fraction of honey collected from first Hive = $$\frac{2}{3}$$ gallon
Fraction of honey collected second and third hives = 2 Ã— $$\frac{1}{4}$$ = $$\frac{1}{2}$$ .
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 = $$\frac{7}{6}$$Â  – $$\frac{3}{4}$$ = $$\frac{14}{12}$$Â  – $$\frac{9}{12}$$ = $$\frac{5}{12}$$.
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 ofÂ  flour used to make cookies = $$\frac{1}{8}$$ lb + $$\frac{1}{2}$$ lb = $$\frac{1+4}{8}$$ lb = $$\frac{5}{8}$$ lb
Fraction ofÂ  flour used to make brownies =$$\frac{1}{4}$$ – $$\frac{1}{8}$$Â  = $$\frac{2- 1 }{8}$$ = $$\frac{1}{8}$$Â  lb .

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