Question

containerA contains 3 times as much water as containerB Ron pours 1.25quarts of water from A into B. now A contains twice as much water asB. a)howmany quarts of water are there in all? b)Ron mixes the water with 1.5 quarts of lemon juice to make lemonade.He pours the lemonade into containers of 1/2 quart each. howmany container does he need

Answer 1

Let a be the amount of water in container A and b be the amount of water in container B, then
a = 3b
a - 1.25 = 2(b + 1.25) = 2b + 2.5
3b - 1.25 = 2b + 2.5
3b - 2b = 2.5 + 1.25
b = 3.75
a = 3(3.75) = 11.25

Thus, there are 3.75 + 11.25 = 15 quarts of water in all.

b.) Total volume after pouring lemon = 15 + 1.5 = 16.5 quarts
Total number of container needed = 16.5 / (1/2) = 2 x 16.5 = 33 containers.