Step-by-step explanation:
Assuming 10 cups of lemon-lime soda and 5 cups of orange soda make 15 cups of punch, we can write proportions for each problem.
x / 130 cups punch = 10 cups lemon-lime / 15 cups punch
x = 86.67 cups lemon-lime soda
y / 130 cups punch = 5 cups orange soda / 15 cups punch
y = 43.33 cups orange soda
x / 65 cups punch = 10 cups lemon-lime / 15 cups punch
x = 43.33 cups lemon-lime soda
y / 65 cups punch = 5 cups orange soda / 15 cups punch
y = 21.67 cups orange soda
x / 195 cups punch = 10 cups lemon-lime / 15 cups punch
x = 130 cups lemon-lime soda
y / 195 cups punch = 5 cups orange soda / 15 cups punch
y = 65 cups orange soda
Answer:
D
Step-by-step explanation:
given the 2 equations
x + 2y = 27 → (1)
2x + 3y = 46 → (2)
Rearrange (1) expressing x in terms of y by subtracting 2y from both sides
x = 27 - 2y ← substitute into (2)
2(27 - 2y) + 3y = 46
54 - 4y + 3y = 46
54 - y = 46 ( subtract 54 from both sides )
- y = - 8 ( multiply both sides by - 1 )
y = 8 → D
The equilibrium point for the pair of demand and supply function is 100
We have been two linear function, one is linear supply function and other is linear demand function.
In general , linear supply function is given as:
Qs = x + yP
Where , Qs = quantity supplied
x = quantity
P = price
And linear demand function is given is :
Qd = x + yP
Where , Qs = quantity supplied
x = quantity
P = price
According to the question,
Linear supply function is q = 300 + 5x
And linear demand function is q = 4800 – 40x
To find the equilibrium point we will put two quantities equal, that is,
Qs = Qd
300 + 5x = 4800 – 40x
5x + 40x = 4800 – 300
45x = 4500
x = 100
Hence the equilibrium point is 100
Learn more about equilibrium point here : brainly.com/question/1915798
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