Question

(PLEASE HELP)

Answer 1

Answer:

Part A)

$x=10+y\\\\ x+y=64$

Part B)

There are 37 students in the drama club.

And there are 27 students in the yearbook club.

Step-by-step explanation:

We know that there are 64 students in total in a drama and yearbook club.

The drama club has 10 more students than the yearbook club.

We will let x represent the number of students in the drama club and y represent the number of students in the yearbook club.

Part A)

Since the drama club (x) has 10 more students than however many the yearbook club (y) has, we can write:

$x=10+y$

And since there are in total 64 students, x plus y must equal that sum. So:

$x+y=64$

Part B)

We can substitute the first equation into the second:

$(10+y)+y=64$

Combine like terms:

$2y+10=64$

Subtracting 10 from both sides:

$2y=54$

Dividing by 2:

$y=27$

So, the amount of students in y or the yearbook club is 27 students.

Since the drama club has 10 more, there are 37 students in the drama club.

Answer 2

Answer:

x=y+10

1x+1y=64 d

y=27 year book club

x=37 drama club

Step-by-step explanation:

x=y+10

1x+1y=64 d

y+10+y=64

2y+10=64

2y=54

y=27

x=37