Knowing that a+b+y=180 and ya:b:y= 9:10:11 Then: a is worth: a+b is worth: and is worth:
Accepted Solution
A:
To solve this problem, let's use the given information and algebraic techniques.
We are given the following equations:
a + b + y = 180 ...(1)
ya : b : y = 9 : 10 : 11
Let's assign variables to the ratios. Let's say ya = 9x, b = 10x, and y = 11x, where x is a common multiplier.
Now we can substitute these values into equation (1):
a + b + y = 180
a + 10x + 11x = 180
a + 21x = 180
We need more information to determine the values of a, b, and y individually. However, we can still find the values of a+b and a.
a + b = a + 10x
Using the ratio ya : b : y = 9 : 10 : 11, we know that ya + b + y = 9x + 10x + 11x = 30x. Therefore,
a + b = a + 10x = 30x
We can solve this equation to find the value of a+b:
a + 10x = 30x
Subtracting 10x from both sides:
a = 20x
So, a+b = 30x.
Since we don't have more information about x or the individual values of a, b, and y, we cannot determine the exact values of a, a+b, or y. However, we know that a+b is equal to 30x and a is equal to 20x, where x is a common multiplier.