SOLUTION: 3/7 of Jar A is filled with water. The capacity of Jar B is p pints. When all the water from Jar A is poured into Jar B, it only fills 8 pints more than 30% of Jar B. When the wate

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 3/7 of Jar A is filled with water. The capacity of Jar B is p pints. When all the water from Jar A is poured into Jar B, it only fills 8 pints more than 30% of Jar B. When the wate      Log On


   



Question 1005974: 3/7 of Jar A is filled with water. The capacity of Jar B is p pints. When all the water from Jar A is poured into Jar B, it only fills 8 pints more than 30% of Jar B. When the water is poured into Jar C, it fills 5 pints less than half the capacity of Jar C.
a) What is the capacity of Jar A in terms of p?
b) What is the capacity of Jar C in terms of p?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the capacity of A = +a+ pints
Let the capacity of C = +c+ pints
The capacity of B = +p+ pints
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(a)
+%283%2F7%29%2Aa+=+.3p+%2B+8+
+3a+=+2.1p+%2B+56+
+a+=+.7p+%2B+18.667+
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(b)
+.3p+%2B+8+=+%281%2F2%29%2Ac+-+5+
+%281%2F2%29%2Ac+=+.3p+%2B+13+
+c+=+.6p+%2B+26+
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