I have to make a table or list to solve these problems.
1. Tina and Bruce are each rolling a 1 to 6 number cube. They are looking for different ways to roll two factors whose product is greater than 14. How many different ways will they find?
2. Trenton has 2 hats and 6 tshirts. His hats are blue and red. His tshirts are white, green, black, yellow, purple and orange. How many ways can he wear the hats and tshirts together?
Thank you
They will find 6 ways: 3,5; 3,6; 4,4; 4,5; 4,6; 5,6; 6,6.
There are 12 ways - 2 * 6 = 12
My son came home with the same math problems tonight. I happened to Google the whole question and found this.
8 different ways.
3x5,5x5,4x4,6x6,3x6,4x5,4x6,6x5. I am a 4th grader myself.
To solve these problems, we can create a table or list to organize the possible outcomes and calculate the solutions.
1. To find different ways to roll two factors whose product is greater than 14, we can create a table listing all the possible outcomes of rolling two number cubes from 1 to 6. For each combination, we multiply the two numbers to determine the product.
Here's an example of the table:
| | 1 | 2 | 3 | 4 | 5 | 6 |
|--- |--- |--- |--- |--- |--- |--- |
| 1 | 1 | 2 | 3 | 4 | 5 | 6 |
| 2 | 2 | 4 | 6 | 8 | 10 | 12 |
| 3 | 3 | 6 | 9 | 12 | 15 | 18 |
| 4 | 4 | 8 | 12 | 16 | 20 | 24 |
| 5 | 5 | 10 | 15 | 20 | 25 | 30 |
| 6 | 6 | 12 | 18 | 24 | 30 | 36 |
From the table, we can see that there are 16 different ways to roll two factors (combination of two numbers) whose product is greater than 14.
2. To determine the number of ways Trenton can wear his hats and t-shirts together, we can create a table listing the options for each category (hats and t-shirts) and count the total combinations.
Here's an example of the table:
| Hats | T-Shirts | Combinations |
|------ |---------- |-------------- |
| Blue | White | 1 |
| Blue | Green | 1 |
| Blue | Black | 1 |
| Blue | Yellow | 1 |
| Blue | Purple | 1 |
| Blue | Orange | 1 |
| Red | White | 1 |
| Red | Green | 1 |
| Red | Black | 1 |
| Red | Yellow | 1 |
| Red | Purple | 1 |
| Red | Orange | 1 |
In this case, Trenton can wear his hats and t-shirts together in 12 different ways (each row represents a combination).
By organizing the possibilities in a table or list, we can easily calculate the number of different ways without missing any options.