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45%
Costcorp sells packets of mints to shop owners.
On Monday three shop owners buy mints from Costcorp. Each shop owner buys small packets, medium packets and large packets of mints.
Alan buys 400 packets of mints.

32% are small packets.

40% are large packets.
Beryl buys 500 packets of mints.

(3)/(10) are small packets.

(1)/(10) are large packets.
Charlie buys 150 small packets of mints so that
number of small packets : number of medium packets 
=3:4
Work out the total number of medium packets of mints these shop owners buy.
(5 marks)

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Calculator Permitted\newlineAuthor:\newlineEdexcel\newlineGet Video Help on this Topic\newlineDifficulty: 1234 \quad 123 \mid 4 \newlineQ11\newlineQ22\newlineQ33\newlineQ44\newlineQ55\newlineQ66\newlineQ77\newlineQ88\newlineQ99\newlineQ1010\newlineQ1111\newlineQ1212\newlineQ1313\newlineQ1414\newlineQ1515\newlineQ1616\newlineQ1717\newlineQ1818\newlineQ1919\newlineQ2020\newlineCOMPLETION\newline45% 45 \% \newlineCostcorp sells packets of mints to shop owners.\newlineOn Monday three shop owners buy mints from Costcorp. Each shop owner buys small packets, medium packets and large packets of mints.\newlineAlan buys 400400 packets of mints.\newline32% 32 \% are small packets.\newline40% 40 \% are large packets.\newlineBeryl buys 500500 packets of mints.\newline310 \frac{3}{10} are small packets.\newline110 \frac{1}{10} are large packets.\newlineCharlie buys 150150 small packets of mints so that\newlinenumber of small packets : number of medium packets =3:4 =3: 4 \newlineWork out the total number of medium packets of mints these shop owners buy.\newline(55 marks)\newline \square

Full solution

Q. Calculator Permitted\newlineAuthor:\newlineEdexcel\newlineGet Video Help on this Topic\newlineDifficulty: 1234 \quad 123 \mid 4 \newlineQ11\newlineQ22\newlineQ33\newlineQ44\newlineQ55\newlineQ66\newlineQ77\newlineQ88\newlineQ99\newlineQ1010\newlineQ1111\newlineQ1212\newlineQ1313\newlineQ1414\newlineQ1515\newlineQ1616\newlineQ1717\newlineQ1818\newlineQ1919\newlineQ2020\newlineCOMPLETION\newline45% 45 \% \newlineCostcorp sells packets of mints to shop owners.\newlineOn Monday three shop owners buy mints from Costcorp. Each shop owner buys small packets, medium packets and large packets of mints.\newlineAlan buys 400400 packets of mints.\newline32% 32 \% are small packets.\newline40% 40 \% are large packets.\newlineBeryl buys 500500 packets of mints.\newline310 \frac{3}{10} are small packets.\newline110 \frac{1}{10} are large packets.\newlineCharlie buys 150150 small packets of mints so that\newlinenumber of small packets : number of medium packets =3:4 =3: 4 \newlineWork out the total number of medium packets of mints these shop owners buy.\newline(55 marks)\newline \square
  1. Calculate Small Packets: Calculate the number of small packets Alan buys.\newlineReasoning: Alan buys 3232% of 400400 packets as small packets.\newlineCalculation: 400×0.32=128 400 \times 0.32 = 128 small packets.
  2. Calculate Large Packets: Calculate the number of large packets Alan buys.\newlineReasoning: Alan buys 4040% of 400400 packets as large packets.\newlineCalculation: 400×0.40=160 400 \times 0.40 = 160 large packets.
  3. Calculate Medium Packets: Calculate the number of medium packets Alan buys.\newlineReasoning: Total packets minus small and large packets.\newlineCalculation: 400(128+160)=112 400 - (128 + 160) = 112 medium packets.
  4. Calculate Small Packets: Calculate the number of small packets Beryl buys.\newlineReasoning: Beryl buys 33/1010 of 500500 packets as small packets.\newlineCalculation: 500×(3/10)=150 500 \times (3/10) = 150 small packets.
  5. Calculate Large Packets: Calculate the number of large packets Beryl buys.\newlineReasoning: Beryl buys 11/1010 of 500500 packets as large packets.\newlineCalculation: 500×(1/10)=50 500 \times (1/10) = 50 large packets.
  6. Calculate Medium Packets: Calculate the number of medium packets Beryl buys.\newlineReasoning: Total packets minus small and large packets.\newlineCalculation: 500(150+50)=300 500 - (150 + 50) = 300 medium packets.
  7. Calculate Medium Packets: Calculate the number of medium packets Charlie buys.\newlineReasoning: Ratio of small to medium packets is 33:44, Charlie buys 150150 small packets.\newlineCalculation: (150×4)/3=200 (150 \times 4) / 3 = 200 medium packets.
  8. Calculate Total Medium Packets: Calculate the total number of medium packets.\newlineReasoning: Sum of medium packets from Alan, Beryl, and Charlie.\newlineCalculation: 112+300+200=612 112 + 300 + 200 = 612 medium packets.

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