Question

One eight-ounce glass of apple juice and one eight-ounce glass of orange juice contain a total of 183.0 milligrams of vitamin C. Two eight-ounce glasses of apple juice and three eight-ounce glasses of orange juice contain a total of 453.1 milligrams of vitamin C. How much vitamin C is in an eight-ounce glass of each type of juice?

Answer 1

Answer:

Apple juice there are 95.9 mg

Orange juice there are 87.1 mg

Step-by-step explanation:

We can get a system of equations from the statement.

Let x be the amount of vitamin C in apple juice

Let y be the amount of vitamin C in orange juice

Now, with the statement we have to:

x + y = 183 (1)

2 * x + 3 * y = 453.1 (2)

We have an equation system, of 2 equations with 2 unknowns, that is, it has a solution.

If we multiply the first equation by 2 and subtract the second equation, we are left with:

2 * x + 3 * y - 2 * x - 2 * y = 453.1 - 2 * 183

Solving

y = 453.1 - 366

y = 87.1

Now to calculate x:

x + y = 183

x + 87.1 = 183

x = 183 - 87.1

x = 95.9

To check:

https://es.symbolab.com/solver/step-by-step/x%20%2B%20y%20%3D%20183%3B%202%5Ccdot%20x%20%2B%203%5Ccdot%20y%20%3D%20453.1

Therefore in apple juice there are 95.9 milligrams of vitamin C and in orange juice there are 87.1 milligrams.

Answer 2

Answer: r = 87.1ml

a = 95.9ml

Step-by-step explanation:

Let apple = a and orange = r

Using the equations:

a + r = 183 ........ (1)

2a+3r = 453.1 ......... (2)

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Multiply the 1st equation by 2 to get:

2a + 2r = 2 × 183

2a + 3r = 453.1

Subtract the 1st from the 2nd and solve for "r":

r = 453.1 - 366

r = 87.1 ml of vitamin C

The is amounr of vitamin C in one orange = 87.1ml

Since a + r = 183, 

a + 87.1 = 183

a = 95.9 ml of vitamin C

The amount of vitamin C in one apple = 95.9ml