The royal fruit company produces two types of fruit drinks. the first type is 35% pure fruit juice, and the second type is 100% pure fruit juice. the company is attempting to produce a fruit drink that contains 45% pure fruit juice. how many pints of each of the two existing types of drink must be used to make 260 pints of a mixture that is 45% pure fruit juice?

pints of 35% pure fruit juice used=26.15

pints of 100% pure fruit juice used= 73.84

Step-by-step explanation:

Let

x =pints of 35% pure fruit juice

100-x=pints of 100% pure fruit juice

35%x+100%(100-x) =45%(260)

0.35x+ 100 - 1x = 117

-.0.65x= - 17

x= 26.15

100-x= 73.84

ans:

pints of 35% pure fruit juice used=26.15

pints of 100% pure fruit juice used= 73.84

an = 22 + (n-1) *6

110 seats

step-by-step explanation:

an=a1+(n-1)(d)

a1 = 22   this is the first item in the sequence

d =6   this is how the sequence goes up

a)   an = 22 + (n-1) *6

b) a12 = 22 + (12-1) *6

    a12 = 22+11*6

  a12 = 22 +88

  a12 = 110