Question

Please help!!!!

Answer 1

Answer:

Children= 384      Adults= 170

Step-by-step explanation:

First, write a system of algebraic equations:

$1.75x+2.50y=1097$

$x+y=554$

Second, use linear combination to eliminate one variable (I will eliminate x, or children.)

$1.75x+2.50y=1097$

$-1.75(x+y=554)$

$1.75x+2.50y=1097$

$-1.75x+-1.75y=-969.5$

$0.75y=127.5$

Divide both sides by 0.75

$0.75y=127.5$

$/0.75$        $/0.75$

$y=170$, there are 170 adults

Now, plug in 170 for $x+y=554$

$x+170=554$

Subtract 170 from both sides

$x+170=554$

      $-170$   $-170$

$x=384$, there are 384 kids.

Hope this helps!!!

Answer 2

Answer:

384 children and 170 adults

Step-by-step explanation:

if x is children and y is adults

1.75x+2.5y=1097

x+y=554

1.75x=1097-2.5y

x=554-y

1.75x=1097-2.5y

1.75x=1.75(554-y)

1097-2.5y=969.5-1.75y

1097-969.5=2.5y-1.75y

127.5=0.75y

127.5/0.75=y

170=y

x+y=554

x=554-y

x=554-170

x=384

to prove these are correct just do 1.75(384)+2.5(170) and see if it equals 1097, and do 384+170 to see if its the amount of people

1.75(384)+2.5(170)

672+425

1097

384+170=554