Question

Write and solve a system of linear equations that represent the situation. There are a total of 64 students in two clubs: xylophone and yo-yo. The xylophone club has 10 more members than the yo-yo club. How many members are in the xylophone club? How many members are in the yo-yo club?

Answer 1

x + y = 64

x = 10 + y

Yo-yo = 27

Xylophone = 37

Explanation:

Let :

Xylophone club = x

Yo - Yo club = y

Total members = 64

Xylophone club has 10 more members than yoyo

Hence,

x + y = 64 - - (1)

x = 10 + y - - (2)

Put x = 10 + y in (1)

10 + y + y = 64

10 + 2y = 64

2y = 64 - 10

2y = 54

y = 54 / 2

y = 27

From (1)

x + 27 = 64

x = 64 - 27

x = 37