Phil, the orange juice producer, has to find out how many liters of 15 percent orange juice and 52 percent sugar syrup are needed to create 500 liters of fruit juice containing 25 percent sugar. Fill in the following square to find how many liters of juice and syrup are needed. Round to nearest whole number.

1 answer

To solve this problem, let's assume that Phil needs x liters of 15% orange juice and y liters of 52% sugar syrup.

Since Phil needs to create 500 liters of fruit juice containing 25% sugar, we can set up the following equation:

0.15x + 0.52y = 0.25(500)

Simplifying the equation:

0.15x + 0.52y = 125

Now we can solve the equation to find the values of x and y.