<PRE><B>Question 1114004</B>
let a be the number of adults and c be the number of children
:
1)  a + c = 1250
:
2)  75a + 25c = 61250
:
solve equation 1 for a
:
a = 1250 - c
:
substitute for a in equation 2
:
75(1250-c) +25c = 61250
:
93750 -75c +25c = 61250
:
-50c = -32500
:
c = 650
:
a = 1250 - 650 = 600
:
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number of adults is 600 and number of children is 650
:
check the answer with equation 2
:
75(600) + 25(650) = 61250
:
45000 + 16250 = 61250
:
61250 = 61250
:
answer checks
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