The royal fruit company produces two types of fruit drinks. the first type is 20% pure fruit juice. the second is 70% pure fruit juice. the company is attempting to produce a fruit drink that contains 35% fruit juice. how many pints of each of the two existing types of drink must be used to make 50 pints of a mixture that is 35% pure fruit juice?

Statements reasons 1. ab ? cd; ad ? bc 1. given 2. ac ? ac 2. reflexive property 3. ? adc ? ? cba 3. ? 4. ? dac ? ? bca; ? acd ? ? cab 4. cpctc 5. ? dac and ? bca are alt. int. ? s; ? acd and ? cab are alt. int. ? s 5. definition of alternate interior angles 6. ab ? cd; ad ? bc 6. converse of the alternate interior angles theorem 7. abcd is a parallelogram 7. definition of parallelogram what is the missing reason in step 3?