Question

Use a system of equations to solve the following problem: Douglas High School has a total of 89 boys and girls who play sports. If the number of boys is 8 more than twice the number of girls, how many boys play sports at this high school?

54

27

81

62

Answer 1

Well first.
B+G=89
2G+8=B

Answer 2

i think it is 62 am i correct?

Answer 3

B + G = 89 ... (1)
B = 2G + 8 ... (2)

subtitute (2) to (1), giving us
B+G=89
2G+G+8=89
3G + 8 = 89
subtrac by 8 from both sides,
3G + 8-8 = 89-9
3G = 81
divide by 3 from both sides,
3G/3 = 81/3
G = 27 ... (3)

subtitute (3) to (2)
B = 2G + 8
B = 2(27) + 8
B = 54 + 8
B = 62