Answer:
1 liter of the Stronger mix
Step-by-step explanation:
From the above question:
Julie adds water to the concentrate until she has 2 liters of juice which is 60% concentrate.
Hence,
2 liters of juice = 60% concentrate of orange
2 liters of juice = 0.6 of the concentrate of orange
Amount of orange used in liters = 2 × 0.6 = 1.2 liters
She then adds some leftover juice which is 75% concentrate
Liters of left over juice added = unknown and represented by y
hence,
y liters of juice = 75% concentrate
y liters = 0.75 concentrate.
Liters of y added = y × 0.75
= 0.75y
She then adds some leftover juice which is 75% concentrate. If the result is 65% concentrated juice,
Mathematically this means
60% concentrate + 75 % concentrate = 65% concentrate.
In liters
= 1.2 liters + 0.75y liters = 65%(2 liters of orange + y liters of orange)
= 1.2 + 0.75y = 0.65(2 + y)
= 1.2 + 0.75y = 1.3 + 0.65y
Collect like terms
= 0.75y - 0.65y = 1.3 - 1.2
= 0.1y = 0.1
y = 0.1/0.1
y = 1 liter.
Hence, since the liters of the leftover juice = stronger mix is represented by y,
therefore, the liters of stronger mix added = 1 liter.
