I do not understand this problem whatsoever. Please help me with this, or at least with setting it up.
A small school has 100 students who occupy three classrooms A, B, and C. After the first period of the school day, half the students in room A move to room B, one-fifth of the students in room B move to room C, and one-third of the students in room C move to room A. Nevertheless, the total number of students in each room is the same for both periods. How many students occupy each room?
Thanks!!
A small school has 100 students who occupy three classrooms A, B, and C. After the first period of the school day, half the students in room A move to room B, one-fifth of the students in room B move to room C, and one-third of the students in room C move to room A. Nevertheless, the total number of students in each room is the same for both periods. How many students occupy each room?
Thanks!!
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the key is in the sentence with fractions. since the final number of each room remains same, for eg, 1/2 of A moves out, 1/3 of C moves in. This means that (1/2)A = (1/3)C , (1/5)B = (1/2)A , (1/3)C = (1/5)B
Use that as reference and substitutes for the equation A + B + C =100 ----eq 1
To find A, sub. B = (5/2)A and C = (3/2)A into eq 1
To find B, sub. A = (2/5)B and C = (3/5)B into eq 1
To find C, sub. C = (2/3)C and B = (5/3)C into eq 1
A=20, B=50 , C=30
Sorry, updated.
No worries..:D
Use that as reference and substitutes for the equation A + B + C =100 ----eq 1
To find A, sub. B = (5/2)A and C = (3/2)A into eq 1
To find B, sub. A = (2/5)B and C = (3/5)B into eq 1
To find C, sub. C = (2/3)C and B = (5/3)C into eq 1
A=20, B=50 , C=30
Sorry, updated.
No worries..:D