Question

Panchito discovered the summer’s most refreshing beverage by mixing a 80% cranberry juice with a 4% of orange juice. How much of each should he mix together to make 190 ml of a 60% cranberry-orange juice blend

Answer 1

Quantity of cranberry juice = 95 ml

Quantity of orange juice = 95 ml

Explanation:

Step 1

Given ,

We have 80% cranberry juice and 4% of orange juice.

We have to find how much each should be mixed to make 190 ml of a 60% cranberry-orange juice blend.

Step 2

Let's assume

Quantity of cranberry juice =x ml

Quantity of orange juice =y ml

Then,

x + y = 190

and

x×80100 +y×4100 = 190×60100

⇒ 0.8x+0.4y = 114

⇒ 2x+y = 285

⇒ y = 285−2x

Step 3

Substituting y = 285−2x in x + y = 190

⇒ x+285−2x = 190

⇒ −x = 190−285

⇒ −x = −95

⇒ x = 95 ml

Substituting x = 95 in x + y = 190

⇒ 95 + y = 190

⇒ y = 190−95

⇒ y = 95 ml

So,

Quantity of cranberry juice =95 ml

Quantity of orange juice = 95 ml