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TEA [102]
3 years ago
6

There are a total of 84 students in the robotics club and the science club. The science club has 12 more students than the robot

ics club. How many students are in the science club?
Mathematics
2 answers:
Dafna11 [192]3 years ago
4 0

Answer:

48 students in science

Step-by-step explanation:

Let r = students in robots club

s = students in science club

r+s = 84

s = r+12

Substitute the second equation into the first

r+(r+12) = 84

Combine like terms

2r+12 = 84

Subtract 12 from each side

2r = 84-12

2r = 72

Divide by 2

r = 72/2 = 36

We need to find s

s = r+12

s = 36+12

s = 48

There are 48 students in the science club

BlackZzzverrR [31]3 years ago
3 0

Let a be the no. of students in the robotics club

and b be the no. of students in the science club

a + b = 84    (eqn. 1)

b = a + 12    (eqn. 2)

sub. eqn. 2 into eqn 1,

a + (a + 12) = 84

2a + 12 = 84

2a = 84 - 12

2a = 72

a = 36

sub. a = 36 in eqn 2

b = 36 + 12

b = 48

So there are 48 students in the science club.

Hope this helps!    

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Step-by-step explanation:

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To solve by elimination, we want to <em>eliminate</em> a variable. To do this, we must make one variable cancel out.

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To isolate y further, divide both sides by -2.

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Now, to find x, plug y back into one of the original equations.

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Your answer is correct!

(5, 13)

Hope this helps!

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Step-by-step explanation:

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