At Wren Station High School, there are x physics teachers and y chemistry teachers. The total number of chemistry and physics teachers together is 7. The number of chemistry teachers is 1 fewer than three times the number of physics teachers.

Question

Mathematics

Ralphie

26 January, 07:34

At Wren Station High School, there are x physics teachers and y chemistry teachers. The total number of chemistry and physics teachers together is 7. The number of chemistry teachers is 1 fewer than three times the number of physics teachers.

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Andrews · Answer 1

By 1st condition, x+y=7 - -eqn. 1

By 2nd condition, 3x-y=1 - -eqn. 2

By solving the two equations we get 4x = 8

Therefore x=2

Substituting in eqn. 1

2+y=7

y=7-2

Therefore y=5

x=2, y=5