Five students divided 74 base ten rods equally among them. how many base ten rods were left over?
2 answers:
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It takes 9 hrs 19.8 minutes for the student teacher to grade the exams if they worked alone
<u>Solution:</u>
Let the efficiency of the school teacher be “x” and the efficiency of the student teacher be “y”
Here the word efficiency means the rate of doing work
Let the total work to be completed be W
According to the question,
The time taken by the school teacher to complete the work is 7 hrs.
So we can write it in equation form
---- eqn 1
where W is the total work and x is the efficiency
Similarly for student teacher and school teacher doing the work simultaneously, we can write the equation as
Equating eqn 1 and 2
7x = 4x + 4y
3x = 4y
So in ratio x : y = 4 : 3
Now putting value of x = 4 in equation (1) we get total work to be 28
Now, <em>total time taken by the student teacher = total work ÷ efficiency of student teacher</em>
Hence, total time taken by the student teacher = 28 ÷ 3 = 9.33 hrs
= 9 hrs 19.8 minutes
Hence it takes 9 hrs 19.8 minutes for the student teacher to grade the exams if they worked alone
To write a fraction as a percent, first remember that a percent is a ratio of a number to 100. If we want to write 5/8 as a percent, we need to find a fraction equivalent to 5/8 that has a 100 in the denominator. We can do this by setting up a proportion.
=
To write a fraction as a decimal, we can simply divide the numerator by the denominator.
5 ÷ 8 = 0.625
Therefore, 5/8 is equal to 0.625.
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