SOLUTION: Frank had three-fourths of the problems right on a test. Lucilla had five-sixths of the problems right, which was ten more problems right than Frank. a) How many problems wer

Question 1096155: Frank had three-fourths of the problems right on a test. Lucilla had five-sixths of the
problems right, which was ten more problems right than Frank.
a) How many problems were on the test?
b) How many problems did Frank have right?
c) How many problems did Lucilla have right?

Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
a)If Lucilla had 5/6ths of the answers right, and Frank had only 3/4ths, and the difference was 10, then:
5n/6 - 3n/4=10; where n is the total number of problems on the test. So:
10n/12 - 9n/12=10
n=120 questions on the test
b)3/4 x 120=90 problems right for Frank
c)5/6 x 120=100 problems right for Lucilla
☺☺☺☺
RELATED QUESTIONS
27 problems right on my test this was 90% of the test how many problems were on the... (answered by ewatrrr)

Three-fourths of a number is fifteen more than two-sixths of the number. What is the... (answered by josh_jordan)

a student earned a grade of 80% on a math test that had 150 problems. how many problems... (answered by edjones,ewatrrr)

A student earned a grade of 80 percent on a math test that had 20 problems. How many... (answered by josmiceli)

a student earned a grade of 80% on a math test that had 20 problems . How many did he get (answered by ad_alta)

Mark had 14 problems wrong on his test. His score was 72% correct. How many problems were (answered by Theo)

Frank had a bagful of coins totaling $13.00. He said, "Guess how many of each coin type I (answered by Edwin McCravy)

If you get 78 out of 100 problems right on a test what is the percent of problems did you (answered by lynnlo)

I got 68 percent of the problems correct on the last test, which had 25 questions. What... (answered by bucky)