Question

A 250ml glass of cordial is made by mixing 4 parts water to 1 part syrup
Person "A" Drinks 50ml of the cordial. Person "A" thinks it is too strong and filles the glass back up by 50ml of water
i> How Much Syrup Is left
ii> What fraction of the cordial is syrup
B) Person "A" repeats this process once more
i> How Much Syrup Is left
ii>What fraction of the cordial is syrup

Answer 1

initially 1/5 syrup (1 syrup to 4 water) ... 50 mL syrup

i) A drinks 1/5 of the cordial (and 1/5 of the syrup) ... leaving 40 mL syrup

ii) 40 mL syrup in 250 mL cordial ... 4/25

B) i) A drinks 1/5 of the cordial (and 1/5 of the syrup) ... leaving 32 mL syrup

ii) 32 mL syrup in 250 mL cordial ... 16/125