How do you solve this please?

The Royal Fruit Company produces two types of fruit drinks. The first type is 45% pure fruit juice, and the second type is 95% pure fruit juice. The company is attempting to produce a fruit drink that contains 65% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 120 pints of a mixture that is 65% pure fruit juice?

Thanks in advance

Re: How do you solve this please?

Hey phyfreak.

Can you show us what you have tried? (Hint: it will involve ax + by = cz where a,b,c are percentages and x,y,z are liquid quantities).

Re: How do you solve this please?

Let x pint of 45% fruit juice be mixed with ( 120-x) pint of 65%fruit juice be mixed to get 120 pint of 95% fruit juice.

Now solve for x and get the result