Foundation June 2019 Paper 3 Q23
23 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.
\(\dfrac{3}{10}\) are small packets.
\(\dfrac{1}{10}\) 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.
You must show all your working. (5)
| Answer | Mark | Mark scheme |
|---|---|---|
| 612 | P1 | Alan: for \(100 - 32 - 40\ (= 28)\) or for finding “28”% of 400 eg \(400 \times 0.28\ (=112)\) |
| P1 | Beryl: for \(1 - \dfrac{3}{10} - \dfrac{1}{10}\ \left(= \dfrac{6}{10} = 60\%\right)\) or for finding \(\text{``}\dfrac{6}{10}\text{''} \times 500\ (=300)\) | |
| P1 | Charlie: for starting to use the ratio 3 : 4 eg \(150 \div 3\ (=50)\) | |
| P1 | for complete ratio process eg \(\text{``}\dfrac{150}{3}\text{''} \times 4\ (=200)\) | |
| A1 | cao |
Additional guidance
For the A1: Answers only (without working) award 0 marks.