A jar contains a blend of fruit juice and water in the ratio 15 : \(x\). When 4 litres of water is added to 16 litres of the blend, the ratio of fruit juice to water becomes 1 : 1. What is the value of \(x\)?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 9
After the water is added there are \(16+4=20\) litres with juice and water equal, so there are 10 litres of juice. Adding water does not change the juice.
Juice in the 16 litres of blend \(=10\) litres
Water in the 16 litres of blend \(=16-10=6\) litres
Juice : water \(=10:6=15:9\)
\(x=9\)
The value of \(x\) is 9.