Question

Someone help me ASAP!!!

Answer 1

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%

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

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

Given : Ben buys 400 packets of mints.

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

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

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

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

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

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

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

Given : Chas buys 210 small packets of mints.

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

$\implies \mathsf{\dfrac{210}{number \ of \ medium \ packets} = \dfrac{3}{4}}$

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

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

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

$:\implies$  (156 + 240 + 280)

$:\implies$  676