Question

A group of students were talking about basketball games. So, they found out that altogether, they were able to attend fourty games last year. Yo-anne went four times as often as manolito. Ya-miro went four more times than manolito. How many times did manolito go to attend basketball games last year

Answer 1

Answer: Manolito attended 6 basketball games last year

Explanation:

Let x = number of games that Yoanne played last year

Let y = number of games that manolito played last year

Let z = number of games that Ya-miro played last year.

The group of students found out that altogether, they were able to attend fourty games last year. This means that

x + y + z = 40 - - - - - - - 1

Yo-anne went four times as often as manolito. It means that

x = 4y

Ya-miro went four more times than manolito. It means that

z = y + 4

Substituting x =4y and z = y + 4 into equation 1, it becomes

4y + y + y + 4 = 40

6y = 40 - 4 = 36

y = 36/6 = 6

z = y + 4 = 6 + 4 = 10

x = 4y = 4×6 = 24