Solve application problems using linear systems.

Question

Last year, Singer A performed four more than three times as many shows during concert tours than Singer B. The number of Singer A concert tour shows exceeded the number of shows by Singer B by 38. How many concert shows did each perform?

Answer 1

a = number of shows A performed

b = number of shows B performed

a = 3b + 4 ("Singer A performed four more than three times as many shows .... than Singer B.")

a = b + 38 ("The number of Singer A concert tour shows exceeded the number of shows by Singer B by 38.

")

Since a=a you can substitute both right hand sides to get:

3b + 4 = b + 38

2b = 34

b = 17 ---> a = 17 + 38 = 55

Ans: A performed 55 shows, B performed 17 shows

Check: 3*17 + 4 = 51 + 4 = 55 (ok)

and 55 = 17 + 38 (ok)