Answer:
number of children = 192 , number of adults = 140
Explanation:
let a be the number of adults and c the number of children
Now set up 2 equations in a and c and solve simultaneously
a + c = 332 → (1) [ total number of adults and children ]
4a + 1.5c = 848 → (2) [ total cost for adults and children ]
multiplying (1) by - 4 and adding the result to (2) , eliminates a
- 4a - 4c = - 1328 → (3)
add (2) and (3) term by term to eliminate a
(4a - 4a) + (1.5c - 4c) = 848 - 1328
0 - 2.5c = - 480
- 2.5c = - 480 ( divide both sides by - 2.5 )
c =
, that is
c = 192
substitute c = 192 into (1) and solve for a
a + 192 = 332 ( subtract 192 from both sides )
a = 140
Then
number of children = 192 and number of adults = 140