Question

11 Reasoning Luke makes lemon squash using 40 ml of squash and 380 ml of water.

Joseph makes lemon squash using 50 ml of squash and 475 ml of water.
Who has made the stronger squash? Explain your answer.
Actf334
GCSE Mathematics (9-1) Foundation tier Unit 11a check in test
Pearson Education 2016

Answer 1

To determine who has made the stronger squash, we need to compare the concentration of squash in each mixture. Concentration can be calculated by dividing the volume of squash by the total volume of the mixture (squash + water) and multiplying by 100 to express it as a percentage.

For Luke's squash:
Concentration of squash = (40 ml / (40 ml + 380 ml)) * 100 = (40 ml / 420 ml) * 100 ≈ 9.52%

For Joseph's squash:
Concentration of squash = (50 ml / (50 ml + 475 ml)) * 100 = (50 ml / 525 ml) * 100 ≈ 9.52%

Both Luke's and Joseph's squash have the same concentration of squash, approximately 9.52%. Therefore, they have made the same strength of squash.