1 Answer

Reilly Grant · Answer 1 · 2021-08-07T14:19:27+0000

Given : Anne buys 600 packets of mints.

Given : Of these 600 packets of mints, 34% are small packets and 40% are large packets.

$:\implies$ Total % of small and large packets is (34 + 40) = 74%

It means : The remaining percentage is of the medium packets of mints which were brought by Anne.

$:\implies$ % of medium packets brought by Anne : (100 - 74) = 26%

$:\implies \textsf{Number of medium packets brought by Anne : $\left((26)/(100) * 600\right)$}$

$:\implies \textsf{Number of medium packets brought by Anne : $\left(26 * 6\right)$ = 156}$

Given : Ben buys 400 packets of mints.

$\textsf{Given : Of these 400 packets of mints, $(3)/(10)$ are small and $(1)/(10)$ are large}$

$\implies \textsf{Total fraction of small and large packets brought by Ben :$\left((3)/(10) + (1)/(10)\right)$}$

It means : The remaining fraction is of the medium packets of mints which were brought by Ben.

$\implies \textsf{Fraction of medium packets brought by Ben : $\left(1 - (3)/(10) - (1)/(10)\right)$}$

$\implies \textsf{Fraction of medium packets brought by Ben : $\left(1 - (4)/(10)\right)$ = $(6)/(10)$}$

$:\implies \textsf{Number of medium packets brought by Ben : $\left((6)/(10) * 400\right)$}$

$:\implies \textsf{Number of medium packets brought by Anne : $\left(6 * 40\right)$ = 240}$

Given : Chas buys 210 small packets of mints.

Given : Number of small packets : number of medium packets = 3 : 4

$\implies \mathsf{(210)/(number \ of \ medium \ packets) = (3)/(4)}$

$\implies \mathsf{Number \ of \ medium \ packets = \left(210 * (4)/(3)\right)}$

$\implies \textsf{Number of medium packets brought by Chas = 280}$

Total number of medium packets of mints brought by these three shop keepers (Anne, Ben, Chas) are :

$:\implies$ (156 + 240 + 280)

$:\implies$ 676

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