In a certain school there were 5 more seniors than juniors. In one marking period, 8 percent of the juniors and 5 percent of the seniors were on honor roll. If the total of juniors and seniors on the honor roll was 10, how many seniors were in the school in the marking period?

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Let S = the number of seniors
Then the number of juniors = S-5
Given:
8% of juniors and 5% of seniors on the honor roll
Total number on the honor roll is 10.
So we can write the following equation:
0.08(S-5) + 0.05S = 10
Solve for S:
0.13S = 10.4 -> S = 80
Therefore, the number of seniors = 80

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