Shiela made cookies for Arun and Ram. Arun and Ram ate the cookies. Together they ate 15 cookies.
taking the cookies eaten by Arun as x and Ram as y, answer the following questions:
1) Write a linear equation representing the cookies eaten by Arun and Ram
2) Find the number of cookies Arun ate, if Ram had 9 cookies
3) If Ram ate 4 times the number of cookies Arun ate, find the number of cookies eaten by each of them?

Question

Answer

1) Linear Equation for Cookies Eaten
To represent the total cookies eaten by Arun and Ram, we can formulate the following linear equation:
- Let x = cookies eaten by Arun
- Let y = cookies eaten by Ram
The equation can be expressed as:
- x + y = 15
This shows that the sum of cookies eaten by both Arun and Ram equals 15.
2) Cookies Eaten by Arun if Ram Ate 9
If Ram had 9 cookies, we can substitute y in the equation:
- x + 9 = 15
To find the number of cookies Arun ate (x), we subtract 9 from both sides:
- x = 15 - 9
- x = 6
Thus, Arun ate 6 cookies.
3) Cookies Eaten if Ram Ate 4 Times Arun
If Ram ate 4 times the number of cookies Arun ate, we can express this as:
- y = 4x
Substituting this into the total cookies equation:
- x + 4x = 15
- 5x = 15
Now, solving for x:
- x = 15 / 5
- x = 3
Now, substituting x back to find y:
- y = 4 * 3
- y = 12
Therefore, the number of cookies eaten by each is:
- Arun: 3 cookies
- Ram: 12 cookies
This detailed breakdown helps illustrate how to solve the problem using linear equations and relationships.

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Represent the equation by equals to 1 on a coordinate plane to which co-ordinate axis is the line representing why = 1 parallel also read from the graph the value of y when the value of x is 3?

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