All 303 families

RV-07-001 · Fraction mixture and a target concentration

A drink contains 17\frac{1}{7} concentrate by volume. There are 770 ml of this drink. Water is added until concentrate makes up 111\frac{1}{11} of the mixture. Work out the amount of water added. Give your answer in litres.

Fractions & Unchanged Quantity in a Mixture Booklet p. 18 & p. 19
Method
1) Find volume of concentrate (remains constant when water is added!)
2) Multiply concentrate volume by new denominator for final volume
3) Subtract original volume and ÷ 1000
Worked Example (RV-07-001)
1)
Concentrate volume = 110 ml.
2)
The concentrate volume remains unchanged.
3)
Final volume = 110 × 11 = 1210 ml.
4)
Added water = 440 ml.
5)
1125\frac{11}{25} litres
Ans = 1125\frac{11}{25} litres