Q:

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

Accepted Solution

A:
Answer: Manolito attended 6 basketball games last yearStep-by-step explanation:Let x = number of games that Yoanne played last yearLet y = number of games that manolito played last yearLet 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 thatx + y + z = 40 - - - - - - - 1Yo-anne went four times as often as manolito. It means that x = 4yYa-miro went four more times than manolito. It means thatz = y + 4Substituting x =4y and z = y + 4 into equation 1, it becomes4y + y + y + 4 = 406y = 40 - 4 = 36y = 36/6 = 6z = y + 4 = 6 + 4 = 10x = 4y = 4Γ—6 = 24