posted by thomas .
Linda did 24 problems out of 25 correctly.In the next test she did twice as many examples correctly but received a mark only half as good.How many problems were there in the second test?
24/25 correct is a 96% score
If she only did half as good then she got
96/2=48% on the second test
She also got twice as many problems correct.
In this problem the number of problem she got correct is also her percentage.
48 divided by what number will give her a score of 48%
questions in 2nd test --- x
so 48/x = (1/2)(24/25)
48/x = 24/50
24x = 2400
x = 100
There were 100 problems
1st test = 24/25 = 96%
2nd test = 48/100 = 48% , which is 1/2 of 96%