Question

a company buys equal numbers of two different card forms. It utilizes 2/3 of one kind and 9/10 of the other. What fraction of the total number is unused?

Answer 1

Answer:

13/30

Step-by-step explanation:

fraction of unused 1st kind card= 1-2/3= 1/3

fraction of unused 2nd kind card= 1-9/10= 1/10

therefore the fraction of total number of unused card =  1/3+1/10= 13/30

Answer 2

$\dfrac{13}{30}$ of total number is unused.

Step-by-step explanation:

Since we have given that

Part of one kind is used = $\dfrac{2}{3}$

Part of another kind is used = $\dfrac{9}{10}$

Part of one kind is unused is given by

$1-\dfrac{2}{3}=\dfrac{3-2}{3}=\dfrac{1}{3}$

Part of another kind is unused is given by

$1-\dfrac{9}{10}=\dfrac{10-9}{10}=\dfrac{1}{10}$

so, the part of total number is unused is given by

$\dfrac{1}{3}+\dfrac{1}{10}\\\\=\dfrac{10+3}{30}\\\\=\dfrac{13}{30}$

Hence, $\dfrac{13}{30}$ of total number is unused.

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