The royal fruit company produces two type of fruit drinks. the first type is 70% pure fruit juice , and the second type is 95% pure fruit juice. the company is attempting to produce a fruit drink that contains 80% pure fruit juice. how many pints of each of the two existing types of drink must be used to make 110 pints of a mixture that is 80% pure fruit juice

66 pints of 70% pure fruit juice and 44 pints of 95% pure fruit juice must be used.

Step-by-step explanation:

Let

x ----> pints of pure fruit juice at 70%

y ----> pints of pure fruit juice at 95%

we know that

----> ----> equation A

Remember that

so

----> equation B

Solve the system by substitution

substitute equation A in equation B

solve for y

Find the value of x

--->

therefore

66 pints of 70% pure fruit juice and 44 pints of 95% pure fruit juice must be used.

m a t h w a y. c o m

step-by-step explanation: