Question

WILL GIVE MEDAL

Answer 1

http://prntscr.com/566ewr

Answer 2

Let \(x\) be the number of boys
Let \(y\) be the number of girls

Boys and girls equals 89
\(x+y=89\)

Boys = girls + 8
\[x=y+8\]

Answer 3

Does that make sense, @VJT?

Answer 4

yeah

Answer 5

so what choice is it

Answer 6

ok

Answer 7

\[x+y=89\]\[x=y+8\]
Now you know that \(x=y+8\), we can put that into the first question
\[x+y=89\]
Sub in \(x\)
\[(y+8)+y=89\]\[2y+8=89\]\[2y=89-8\]\[2y=81\]\[y=\frac{81}{2}\]\[y=40.5\]

Now we know \(y\), we can sub that into the equation to get \(x\)
\[x=y+8\]
Sub in \(y\)
\[x=40.5+8\]\[x=48.5\]

Answer 8

Does that make sense, @VJT?

Answer 9

yes

Answer 10

Thats the answer

Answer 11

Whoops. Did something wrong

Answer 12

ok, i was going to say that, that wasn't a choice

Answer 13

\[x+y=89\]\[x=2y+8\]

Now you know that \(x=2y+8\), we can put that into the first question
\[x+y=89\]

Sub in x
\[(2y+8)+y=89\]\[3y+8=89\]\[3y=89−8\]\[3y=81\]\[y=\frac{81}{3}\]\[y=27\]


Now we know y, we can sub that into the equation to get x
\[x=2y+8\]

Sub in y
\[x=2*27+8\]\[x=2*27\]\[x=54\]
Therefore, the number of boys is \(54\)