MATHEMATICS

JAMB 2004 - Question 5

Mathematics 2004 JAMB Past Questions - Question 5: Three teachers shared a packet of chalk. The first teacher got 2/5 of the chalk and the second teacher received 2/15 of the remainder. What fraction did the third teacher receive ?

Three teachers shared a packet of chalk. The first teacher got 2/5 of the chalk and the second teacher received 2/15 of the remainder. What fraction did the third teacher receive ?
A:
B:
C:
D:
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Correct Answer

C

Explanation

To find the fraction of chalk received by the third teacher, we need to calculate the remaining fraction after the first and second teachers have taken their share.Let's start with the total fraction of chalk:1 whole packet of chalk = 1The first teacher received 2/5 of the chalk, leaving 3/5 remaining:Remaining fraction = 1 - 2/5 = 3/5The second teacher received 2/15 of the remaining fraction:Fraction received by the second teacher = (2/15) * (3/5) = 6/75 = 2/25Now, let's calculate the fraction of chalk remaining after the second teacher:Remaining fraction = (3/5) - (2/25) = (15/25) - (2/25) = 13/25Therefore, the third teacher received 13/25 of the chalk.