------------------------------------------------------------------------------------------------- Assumptions ------------------------------------------------------------------------------------------------- Let x be the amount of 25% orange juice Let y be the amount of 10% orange juice
------------------------------------------------------------------------------------------------- There are 15 litres of 13% orange juice ------------------------------------------------------------------------------------------------- x + y = 15
------------------------------------------------------------------------------------------------- The 15 litres of juice is 13% orange juice ------------------------------------------------------------------------------------------------- 0.25x + 0.1y = 15 x 0.13 0.25x + 0.1y = 1.95
------------------------------------------------------------------------------------------------- Rewrite the equations and solve for x and y ------------------------------------------------------------------------------------------------- x + y = 15 ----------------------- (Equation 1) 0.25x + 0.1y = 1.95 ----------- (Equation 2)
(Equation 1): x + y = 15 x = 15 - y ----------- (Substitute into Equation 2)
------------------------------------------------------------------------------------------------- Answer: 3 liters of 25% of orange juice with 12 liters of 10% orange juice -------------------------------------------------------------------------------------------------
Step-by-step explanation: divide 2/3x by 2 and do that to both sides to get 1/3x = 3 then multiply by 3 to get the whole x. multiply on both sides to get x = 9.
