Make a table showing the comparison of the amount of white sugar to brown sugar. White sugar: 1 cup, brown sugar: 3 cups.

| White Sugar (cups) | Brown Sugar (cups) |
|--------------------|--------------------|
| 1 | 3 |
| 2 | 6 |
| 3 | 9 |
| 4 | 12 |
| 5 | 15 |

Then write an equation that shows the relationship of the amount of white sugar to the amount of brown sugar.

Let \( w \) represent the amount of white sugar and \( b \) represent the amount of brown sugar. The relationship can be expressed as:

\[ b = 3w \]

Then explain how the value of the ratio can be seen in the table.

The value of the ratio can be seen in the table by observing that for every 1 cup of white sugar, there are 3 cups of brown sugar. This consistent ratio of 1:3 is maintained throughout the table.

white vs brown 1cup - 3cups 2cups - 6cups 3cups - 9cups
as you can see, if you add 1 to whit, you also add 3 to brown. the ratio is 1:3. every one white = 3 brown.

Answered by Anonymous | 2024-06-10

The equation that shows the relationship of the amount of white sugar to the amount of brown sugar is** B = 3W** where B is the cup of brown sugar and W is the cup of white sugar.
The table is:
White sugar - brown sugar
** 1 cup 3 cups**
** 2 cups 6 cups**
** 3 cups 9 cups**
** 4 cups 12 cups**
Given,
White sugar 1 cup brown sugar 3 cups.
We need to make a table and write an equation that shows the relationship between the amount of white sugar to the amount of brown sugar.
What are ratios and proportions?
The ratio is denoted by M : N or M / N
If two ratios are the same we say that they are in proportion.
Example: 1/2 and 2/4
We have,
White sugar - brown sugar
** 1 cup 3 cups.**
Find the equation that shows the relationship between white sugar and brown sugar.
Let the white sugar be denoted by W and brown sugar denoted by B.
We have,
B = 3W
When,
W = 1 cup, B = 3
Ratio = W/B = 1/3
W = 2. B = 3 x 2 = 6
Ratio = 2/6 = 1/3
W = 3. B = 3 x 3 = 9
Ratio = 3/9 = 1/3
W = 4, B = 3 x 4 = 12
Ratio = 4/12 = 1/3
We will see that the ratios are the same.
i.e 1/3
Thus the equation that shows the relationship of the amount of white sugar to the amount of brown sugar is **B = 3W **where B is the cup of brown sugar and W is the cup of white sugar.
The table is:
White sugar - brown sugar
** 1 cup 3 cups.**
** 2 cups. 6 cups**
** 3 cups. 9 cups**
** 4 cups. 12 cups**
Learn more about **finding an equivalent ratio **here:
https://brainly.com/question/2462048
#SPJ2

Answered by swapnalimalwadeVT | 2024-06-16

The table shows the relationship between white and brown sugar, where 1 cup of white sugar corresponds to 3 cups of brown sugar. The equation for this relationship is b = 3 w . The consistent ratio of 1:3 is maintained throughout the table, illustrating how the amounts relate to each other.
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Answered by swapnalimalwadeVT | 2024-09-03