Answer:
25 gallons
Step-by-step explanation:
Let x be the number of gallons of orange juice worth $1.70 per gallon, then x gallons are worth $1.70x.
If 100 gallons of orange juice worth $2.20 per gallon, then 100 gallons are worth [tex]\$2.20\cdot 100=\$220[/tex]
Total cost is
[tex]\$1.70x+\$220[/tex]
Together we will get x + 100 gallons of a mixture. This mixture we will sell for $2.10 per gallon, so, x + 100 gallons of mixture is worth $2.10(x + 100).
Thus,
[tex]1.70x+220=2.10(x+100)\\ \\17x+2,200=21(x+100)\ [\text{Multiplied by 10}]\\ \\17x+2,200=21x+2,100\\ \\17x-21x=2,100-2,200\\ \\-4x=-100\\ \\4x=100\\ \\x=25[/tex]
Answer:
x = 20 gallon of orange juice worth $1.70 per gallon
Step-by-step explanation:
Let x is the total number of gallons of orange juice required at $2.10 per gallon.
As per the given information since total of 100 gallons mix is required, therefore it is needed to add (100-x) gallons of orange juice at $2.20 per gallon.
from the information given we have following equation
x($1.70)+(100-x)($2.20) = 100($2.10)
solving for x we get required equation.
1.70x + 220 - 2.2x = 210
-0.5x = -10.
x = 20
