## Engage NY Eureka Math 5th Grade Module 6 Lesson 24 Answer Key

### Eureka Math Grade 5 Module 6 Lesson 24 Homework Answer Key

Question 1.

Pat’s Potato Farm grew 490 pounds of potatoes. Pat delivered \(\frac{3}{7}\) of the potatoes to a vegetable stand. The owner of the vegetable stand delivered \(\frac{2}{3}\) of the potatoes he bought to a local grocery store, which packaged half of the potatoes that were delivered into 5-pound bags. How many 5-pound bags did the grocery store package?

Answer:

Weight of potatoes grown in pat farm = 490 pounds

Weight of potatoes pat delivered to vegetable stand = \(\frac{3}{7}\) **× **490 = 210 pounds .

Weight of potatoes vegetable stand owner to local grocery store = \(\frac{2}{3}\) **×** 210 = 140 pounds .

Weight of potatoes local grocery store packed in 5 – pound bags = half of the potatoes = 140 / 2 = 70 pounds .

Number of 5-pound bags did the grocery store packed = 70 / 5 = 14 bags .

The following problems are for your enjoyment. They are intended to encourage working together and family problem-solving fun. They are not a required element of this homework assignment.

Question 2.

Six matchsticks are arranged into an equilateral triangle. How can you arrange them into 4 equilateral triangles without breaking or overlapping any of them? Draw the new shape.

Answer:

By placing 3 match sticks in the middle of the triangle 4 equilateral triangles are formed is shown in the above figure .

Question 3.

Kenny’s dog, Charlie, is really smart! Last week, Charlie buried 7 bones in all. He buried them in 5 straight lines and put 3 bones in each line. How is this possible? Sketch how Charlie buried the bones.

Answer:

the possible way is shown in the above diagram