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