Seema buys $c$ pounds of cake to feed $k$ people at party. If $k + n$ people come to the party. How many pounds of cake must seema buy to feed everyone at party.

\frac{k n}{c}

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\frac{k}{c n}

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\frac{k + n}{c}

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\frac{n c}{k}

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Solution

The correct option is D $\frac{n c}{k}$
$I$ $I I$
amount of cake $c$ $(c + x)$
No.of people $k$ $(k + n)$
By direct proportionality,
$c \times (k + n) = k \times (c + x)$
$c k + c n = c k + k x$
cancelling $c k$ from both sides,
$c n = k x$
$∴ x = \frac{n c}{k}$
Answer is option D

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Seema buys c pounds of cake to feed k people at party. If k+n people come to the party. How many pounds of cake must seema buy to feed everyone at party.

The correct option is D nck I IIamount of cake c (c+x)No.of people k (k+n)By direct proportionality,c×(k+n)=k×(c+x)ck+cn=ck+kxcancelling ck from both sides,cn=kx∴x=nckAnswer is option D

Seema buys $c$ pounds of cake to feed $k$ people at party. If $k + n$ people come to the party. How many pounds of cake must seema buy to feed everyone at party.

The correct option is D $\frac{n c}{k}$
$I$ $I I$
amount of cake $c$ $(c + x)$
No.of people $k$ $(k + n)$
By direct proportionality,
$c \times (k + n) = k \times (c + x)$
$c k + c n = c k + k x$
cancelling $c k$ from both sides,
$c n = k x$
$∴ x = \frac{n c}{k}$
Answer is option D