Question

1) George has a bag with 31 marbles at school but he has 9 times as many marbles at home. How many marbles does he have at home?

2) Marissa has 49 marbles and her friend, Alice, has 97 marbles. How many marbles do they have altogether?
3) Ashley has 327 marbles in her collection. Amber has 139 marbles. How many more marbles does Ashley have?
4) Timothy had 111 marbles. He lost 56 marbles. How many marbles does he have left?
5) Laura has 47 marbles. The students in Room 15's fifth-grade classroom have 28 times as many marbles as Laura. How many marbles do the students in Room 15 have?
6) The 30 students in Room 19 pooled all of their marbles in one giant basket. They had 1,110 marbles in the basket. What was the average number of marbles each child contributed?
7) A group of 11 boys won a contest with 1,056 marbles as the prize. They split the marbles evenly among themselves. How many marbles did each boy receive?
8-10) Your Turn! Create 3 word problems of your own. Then solve your word problems.

Answer 1

The solutions involve basic arithmetic operations: multiplication, addition, subtraction, and division result in finding how many marbles individuals and groups possess or the average number contributed by students. Answers include 279 marbles for George at home, and other specific counts for various scenarios.

Step-by-step explanation:

Solution to Marble-Related Math Problems

Let's solve each problem step by step:

1. George's marbles at home: George has 31 marbles at school, and he has 9 times as many marbles at home. So, the number of marbles George has at home will be 31 marbles × 9 = 279 marbles.
2. Total marbles for Marissa and Alice: Marissa has 49 marbles and Alice has 97 marbles. Combined, they have 49 + 97 = 146 marbles.
3. Ashley's additional marbles: Ashley has 327 marbles, and Amber has 139 marbles. Ashley has 327 – 139 = 188 more marbles than Amber.
4. Timothy's remaining marbles: Timothy had 111 marbles and lost 56 marbles. He now has 111 – 56 = 55 marbles left.
5. Room 15's marble collection: Laura has 47 marbles. The students in Room 15 have 28 times as many marbles as Laura, totaling 47 marbles × 28 = 1,316 marbles.
6. Average marbles per student in Room 19: With 1,110 marbles altogether for 30 students in Room 19, the average number of marbles each child contributed is 1,110 ÷ 30 = 37 marbles per student.
7. Marbles per boy in the contest: If 11 boys share 1,056 marbles equally, each boy receives 1,056 ÷ 11 = 96 marbles.

Now, here are three word problems I've created:

Sam has twice as many marbles as Tom. If Tom has 25 marbles, how many does Sam have?

There are 150 marbles in a jar. If 1/5 of the marbles are blue, how many blue marbles are there?

A basket has 200 marbles, some are red and the rest are green. If there are 120 red marbles, how many green marbles are there?

Solutions to the created word problems:

1. Sam has 25 marbles × 2 = 50 marbles.
2. There are 150 marbles × 1/5 = 30 blue marbles.
3. There are 200 marbles – 120 red marbles = 80 green marbles.

Answer 2

Step-by-step explanation:

1. 31*9 = 279

George has 279 marbles at home.

2. 49 + 97 = 146

They have 146 marbles altogether.

3. 327 - 139 = 188

Ashley has 188 more than Amber.

4. 111 - 56 = 55

He has 55 more marbles left.

5. 47*28 = 1316

Room 15 has 1316 marbles.

6. 1110/30 = 37

The average each child contributed would be 37 marbles.

7. 1056/11 = 96

Each boy received 96 marbles.