## Engage NY Eureka Math 5th Grade Module 6 Lesson 25 Answer Key

### Eureka Math Grade 5 Module 6 Lesson 25 Homework Answer Key

Question 1.

Fred and Ethyl had 132 flowers altogether at first. After Fred sold \(\frac{1}{2}\) of his flowers and Ethyl sold 48 of her flowers, they had the same number of flowers left. How many flowers did each of them have at first?

Answer:

Total number of flowers = 132

Number of flowers with Fred = x

Number of flowers with Ethyl = 132 – x

Number of flowers sold by Fred = \(\frac{1}{2}\) x = \(\frac{x}{2}\)

Number of flowers sold by Ethyl = 48

Number of flowers remaining with Fred = x – \(\frac{x}{2}\) = \(\frac{x}{2}\)

Number of Flowers remaining with Ethyl = 132 – x – 48 = 84 – x

Number of flowers remaining with Fred = ethyl

\(\frac{x}{2}\) = 84 – x

x + \(\frac{x}{2}\) = 84

\(\frac{3x}{2}\) = 84

3x = 168

x = 56 .

Number of flowers with Fred = x = 56

Number of flowers with Ethyl = 132 – x = 132 – 56 = 79 .

The following problems are puzzles 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.

Without removing any, move 2 matchsticks to make 4 identical squares. Which matchsticks did you move? Draw the new shape.

Answer:

Question 3.

Move 3 matchsticks to form exactly (and only) 3 identical squares. Which matchsticks did you move? Draw the new shape.

Answer: