SOLUTION: The radiator of a car holds 16 quarts of liquid of which 8 are antifreeze. The radiator has a leak and loses 2 quarts of liquid each week. Every week, 2 quarts of water are added.

Question 161172: The radiator of a car holds 16 quarts of liquid of which 8 are antifreeze. The radiator has a leak and loses 2 quarts of liquid each week. Every week, 2 quarts of water are added. After 3 weeks how much antifreeze is left in the radiator? (explain your reasoning, just the answer is not sufficient).

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The radiator of a car holds 16 quarts of liquid of which 8 are antifreeze. The radiator has a leak and loses 2 quarts of liquid each week. Every week, 2 quarts of water are added. After 3 weeks how much antifreeze is left in the radiator?
:
Let x = fractional amt of antifreeze after 2 qts leak out & 2 qt water added
:
Week 1:
(16-2) = 16x (2 qts of water added to make it 16 again)
(14) = 16x
7 = 16x
x = ;
Therefore: *16 = 7 qts, of antifreeze after week 1
:
Week 2;
(16-2) = 16x
14 = 16x
= 16x
x = *
x = ;
Therefore: *16 = 6.125 qts of antifreeze after week 2
:
Week 3:
(16-2) = 16x
(14) = 16x
= 16x
x = *
x = ;
therefore: *16 = 5.34 qts of antifreeze after week 3
:
:
Hope this makes sense.

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