After a long walk in the summertime, you get back to your friend’s house. He’s got a 2 liter pitcher of sweet tea in the fridge that he’s made the way he likes it—very sweet (200 g/L sugar). However, another friend is diabetic and she has to have nearly unsweet tea (50 g/L). Meanwhile, you like yours sweet but not as sweet as your friend (125 g/L). You will each drink about 0.5 L of sweet tea. Explain how you could make dilutions from one recipe to make everyone happy on a hot summer day.

Calculate the amount of ice tea (not water) you'd need for each drink to 4 decimal places in lit

Question

After a long walk in the summertime, you get back to your friend’s house. He’s got a 2 liter pitcher of sweet tea in the fridge that he’s made the way he likes it—very sweet (200 g/L sugar). However, another friend is diabetic and she has to have nearly unsweet tea (50 g/L). Meanwhile, you like yours sweet but not as sweet as your friend (125 g/L). You will each drink about 0.5 L of sweet tea. Explain how you could make dilutions from one recipe to make everyone happy on a hot summer day.

Calculate the amount of ice tea (not water) you'd need for each drink to 4 decimal places in lit

anonymous · Answer

diabetic 0.1250 litres
you 0.3125 litres
friend 0.5000 litres

anonymous · Answer

@ManInBlack do you mind explaining how you calculated that? thanks for the response!

anonymous · Answer

ok first one requires 50g sugar which is 1/4 of 200 g so divide the 0.5000 litres by 4 to get the 50g of sugar per litre required. do the same for the next, the friend requires no dilution so still drinks 0.5000 litres

anonymous · Answer

thanks!

anonymous · Answer

let me clarify, second one requires 125/200

anonymous · Answer

no worries :-)