SOLUTION: In a college there are 5 more seniors than juniors. In an honor party, 8 percent of the juniors and 5 percent of the seniors were invited. The total number of students invired to

Question 619: In a college there are 5 more seniors than juniors. In an honor party, 8 percent of the juniors and 5 percent of the seniors were invited. The total number of students invired to this party was 10. How many students were in the college.
Answer by AnlytcPhil(1806) (Show Source): You can put this solution on YOUR website!
In a college there are 5 more seniors than juniors. In an honor party, 8
percent of the juniors and 5 percent of the seniors were invited. The total
number of students invited to this party was 10. How many students were in
the college.
`
>>...In a college there are 5 more seniors than juniors...<<
`
Translation:
`
S = J + 5
`
>>...In an honor party, 8 percent of the juniors and 5 percent of the
seniors were invited...<<
`
Translation:
.08J + .05S were invited
`
>>...The total number of students invited to this party was 10...<<
`
Therefore .08J + .05S = 10
`
So we have this system of two equations in two unknowns.
`
S = J + 5
.08J + .05S = 10
`
Can you solve this system by substitution? If not, ask again.
`
Answer: 80 seniors and 75 juniors.
`
Edwin J

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