Question

Help me understand this MATH problem...MR.LARSON IS PLANNING THE SEATING FOR A SCHOOL RECITAL. HE NEEDS TO RESERVE 1/3 OF THE SEATS FOR STUDENTS AND 1/6 OF THE SAETS FOR PARENTS.

A. AFTER RESEVING SEATS FOR STUDENTS AND PARENTS, WHAT FRACTION OF THE SEATS IN THE AUDITORIUM ARE LEFT?
B. MR.LARSON's PRINCIPAL TELLS HIM THAT HE ALSO NEEDS TO RESREVE 1/8 OF THE SEATS FOR TEACHERS AND SCHOOL OFFICIALS. THE REMAINDER CAN BE USED FOR OPEN SEATING. WHAT FRACTION OF THE SEATS ARE NOW LEFT FOR OPEN SEATING?
C. LATER, MR.LARSON's PRINCIPAL SAYS HE SHOULD RESERVE 1/4 OF THE SAETS FOR STDENTS FROM OTHER MIDDLE SCHOOLS. ARE THERE ENOUGH SEATS LEFT? IF NOT, EXPLAIN WHY NOT; OTHERWISE, STATE WHAT FRACTION OF THE SEATS WILL BE AVAILABLE FOR OPEN SEATING.

Answer 1

Find the common denominator 24, 8/24 are for students, 4/24 are for parents, 4/24 are for officials, and 6/24 will be for other middle schools, add them and you get 8+4+4+6 which is 22/24, simplify to 11/12, and there is 1/12 of the seats left.