## Engage NY Eureka Math 2nd Grade Module 4 Lesson 31 Answer Key

### Eureka Math Grade 2 Module 4 Lesson 31 Problem Set Answer Key

Solve the following word problems by drawing a tape diagram. Use any strategy you have learned to solve.

Question 1.
Mr. Roberts graded 57 tests on Friday and 43 tests on Saturday. How many tests did Mr. Roberts grade?

The number of tests did Mr. Roberts grade = 100.

Explanation:
In the above-given question,
given that,
Mr. Roberts graded 57 tests on Friday and 43 Tests on Saturday.
57 + 43 = 100.
so the number of tests did Mr. Roberts grade = 100. Question 2.
There are 54 women and 17 fewer men than women on a boat.
a. How many men are on the boat?

The number of men are on the boat = 37.

Explanation:
In the above-given question,
given that,
There are 54 women and 17 fewer men than women on a boat.
54 – 17 = 37.
so the number of men are on the boat = 37. b. How many people are on the boat?

The number of men is on the boat = 91.

Explanation:
In the above-given question,
given that,
There are 54 women and 17 fewer men than women on a boat.
54 + 37 = 91.
so the number of men on the boat = 91. Question 3.
Mark collected 27 fewer coins than Craig. Mark collected 58 coins.
a. How many coins did Craig collect?

The number of coins did Craig collect = 85.

Explanation:
In the above-given question,
given that,
Mark collected 27 fewer coins than Craig.
Mark collected 58 coins.
58 + 27 = 85.
so the number of coins did Craig collect = 85. b. Mark collected 18 more coins than Shawn. How many coins did Shawn collect?

The number of coins did Shawn collect = 40.

Explanation:
In the above-given question,
given that,
Mark collected 18 more coins than Shawn.
Mark collected 58 coins.
58 – 18 = 40.
so the number of coins did Shawn collect = 40. Question 4.
There were 35 apples on the table. 17 of the apples were rotten and were thrown out. 9 apples were eaten. How many apples are still on the table?

The number of apples is still on the table = 9.

Explanation:
In the above-given question,
given that,
There were 35 apples on the table.
17 of the apples were rotten and were thrown out.
9 apples were eaten.
35 – 17 -9.
35 – 17 = 18.
18 – 9 = 9.
so the number of apples is still on the table = 9. ### Eureka Math Grade 2 Module 4 Lesson 31 Exit Ticket Answer Key

Solve the following word problems by drawing a tape diagram. Then, use any strategy that you’ve learned to solve.

Question 1.
Sandra has 46 fewer coins than Martha. Sandra has 57 coins.
a. How many coins does Martha have?

The number of coins does Martha have = 11.

Explanation:
In the above-given question,
given that,
Sandra has 46 fewer coins than Martha.
Sandra has 57 coins.
57 – 46 = 11.
so the number of coins does Marth have = 11. b. How many coins do Sandra and Martha have together?

The number of coins do Sandra and Martha have together = 68.

Explanation:
In the above-given question,
given that,
Sandra has 57 coins.
Marth has 11 coins.
57 + 11 = 68.
so the number of coins do Sandra and Martha have together = 68. Question 2.
There are 32 brown dogs and 19 white dogs at the park. 16 more brown dogs come to the park. How many dogs are there now at the park?

The number of dogs is there now at the park = 67.

Explanation:
In the above-given question,
given that,
There are 32 brown dogs and 19 white dogs at the park.
16 more brown dogs come to the park.
32 + 19 = 51.
51 + 16 = 67.
so the number of dogs are there now at the park = 67. ### Eureka Math Grade 2 Module 4 Lesson 31 Homework Answer Key

Question 1.
Melissa had 56 pens and 37 more pencils than pens.
a. How many pencils did Melissa have?

The number of pencils did Melissa have = 93.

Explanation:
In the above-given question,
given that,
Melissa had 56 pens and 37 more pencils than pens.
56 + 37 = 93.
so the number of pencils did Melissa have = 93. b. How many pens and pencils did Melissa have?

The number of pens and pencils did Melissa have = 149.

Explanation:
In the above-given question,
given that,
Melissa had 56 pens and 37 more pencils than pens.
56 + 37 = 93.
56 + 93 = 149.
so the number of pens and pencils did Melissa have = 149. Question 2.
Antonio gave 27 tomatoes to his neighbor and 15 to his brother. He had 72 tomatoes before giving some away. How many tomatoes does Antonio have left?

The number of tomatoes does Antonio have left = 30.

Explanation:
In the above-given question,
given that,
Antonio gave 27 tomatoes to his neighbor and 15 to his brother.
He had 72 tomatoes before giving some away.
27 + 15 = 42.
72 – 42 = 30.
so the number of tomatoes does Antonio have left = 30. Question 3.
The bakery made 92 muffins. Seventeen were blueberry, 23 were cranberry, and the rest were chocolate chip. How many chocolate chip muffins did the bakery make?

The number of chocolate chip muffins did the bakery make = 52.

Explanation:
In the above-given question,
given that,
Seventeen were blueberry, 23 were cranberry, and the rest were chocolate chip.
17 + 23 = 40.
92 – 40 = 52.
so the number of chocolate chip muffins did the bakery make = 52. Question 4.
After spending $43 on groceries and$19 on a book, Mrs. Groom had $16 left. How much money did Mrs. Groom have to begin with? Answer: The money did Mrs. Groom have to begin with =$78.

Explanation:
In the above-given question,
given that,
After spending $43 on groceries and$19 on a book.
Mrs. Groom had $16 left. 43 + 19 = 62. 62 + 16 = 78. so the money did Mrs. Groom have to begin with =$78. 