Let number of adults be A, and number of children, C

Then we get: A + C = 1,000 ------ eq (i)

Also, 10A + 5C = 7,100_____5(2A + C) = 5(1,420)_____2A + C = 1,420 ----- eq (ii)

 ---- Subtracting eq (i) from eq (ii)

Subtract value of "A" from 1,000 to get the number of children. 

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