Word question

Question

the royal fruit company produces two types of fruit drinks. The first type is 60% pure fruit juice, and the second is 85% purefruit 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 lf drink must be used to make 160 pints of a mixture that is 80% pure fruit juice.

Answer 1

(x pts)(60%) + (160 pts - x pts)(85%) = (160 pts)(80%)

60x + 13,600 - 85x = 12,800

-25x = -800

x = 32 pints of 60%

160 - 32 = 128 pints of 85%

 

Done by alligation:

Have...........want...........need

60%................................5.....

....................80%...................

85%...............................20....

Total parts = 25

160/25 = 6.4 pints per part

5 parts of 60% = 5 x 6.4 pints = 32 pints of 60%

20 parts of 85% = 20 x 6.4 pints = 128 pints of 85%