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

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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) About Me  (Show Source):
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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