Question

workPenn State students and through the project in the science fair the number of girls was for fewer than twice the number of boys write and solve a system of equation to determine how many boys and science projects into the fair

Answer 1

Total number of students - 26

Let x be the number of girls

and y be the number of boys

Thus , x + y = 26

The number of girls ( x ) is 4 fewer than twice the number of boys (2y - 4)

x = 2y - 4

Equations:

x + y = 26

x = 2y - 4

Let's substitute the second equation into the first equation.

x + y = 26

(2y - 4) + y = 26

2y - 4 + y = 26

3y - 4 = 26

3y = 26 + 4

3y = 30

y = 10

if y = 10, then

x = 2y - 4 = 2(10) -4 = 16

therefore,

x = 16 and y =10

to check

x + y = 26

16 + 10 = 26

26 = 26 OK

Answer :

There are 10 boys who entered their science project into the fair