divided by 20."},"desmos":{"expression":"\\frac{9.50}{20}","instructions":"Input the division fraction in the input bar."},"description":"Calculate the price per battery for Pack C"}],"highlights":[{"text":"20 batteries for £9.50","location":"specification"}]},{"type":"text","order":4,"title":"Compare and conclude","content":"Now we compare the price per battery for each pack:\n- Pack A: $£0.50$ per battery\n- Pack B: $£0.45$ per battery\n- Pack C: $£0.475$ per battery\n\nComparing these values:\n\n$$£0.45 < £0.475 < £0.50$$\n\nSince **Pack B** has the lowest cost per battery, **Pack B** offers the best value for money."}]},{"id":"d45bf247-208d-43b1-8223-8c9757bde628:batteries_per_pound","label":"Batteries per Pound","steps":[{"type":"text","order":0,"title":"Understand the method","content":"To find which pack offers the best value for money, we can calculate how many **batteries we get for every £1 spent**. This is called the \"batteries per pound\" value.\n\nThe formula we will use for each pack is:\n$$\\text{Batteries per £1} = \\frac{\\text{Number of batteries}}{\\text{Cost (in £)}}$$\n\nThe pack that gives us the **highest** number of batteries per £1 will be the best value."},{"type":"text","order":1,"title":"Calculate Pack A","content":"For **Pack A**, we get $10$ batteries for $£5$:\n\n$$\\text{Batteries per £1} = \\frac{10}{5} = 2$$\n\nSo, Pack A gives us exactly **$2$ batteries** per £1.\n\n*(This calculation earns you the first method mark M1)*","highlights":[{"text":"10 batteries for £5","location":"specification"}]},{"type":"text","order":2,"title":"Calculate Pack B","content":"For **Pack B**, we get $12$ batteries for $£5.40$:\n\n$$\\text{Batteries per £1} = \\frac{12}{5.40} \\approx 2.22$$\n\nSo, Pack B gives us approximately **$2.22$ batteries** per £1.\n\n*(This calculation earns you the second method mark M1)*","calculator":[{"gdc":{"expression":"12 / 5.40","instructions":"Enter 12 / 5.40 and press EXE."},"ti84":{"expression":"12 / 5.40","instructions":"Type 12 / 5.40 and press ENTER."},"desmos":{"expression":"12 / 5.40","instructions":"Type 12 / 5.40 in the entry bar to get the decimal result."},"description":"Calculate 12 divided by 5.40 to find the batteries per pound for Pack B."}],"highlights":[{"text":"12 batteries for £5.40","location":"specification"}]},{"type":"text","order":3,"title":"Calculate Pack C","content":"For **Pack C**, we get $20$ batteries for $£9.50$:\n\n$$\\text{Batteries per £1} = \\frac{20}{9.50} \\approx 2.11$$\n\nSo, Pack C gives us approximately **$2.11$ batteries** per £1.\n\n*(This calculation earns you the third method mark M1)*","calculator":[{"gdc":{"expression":"20 / 9.50","instructions":"Enter 20 / 9.50 and press EXE."},"ti84":{"expression":"20 / 9.50","instructions":"Type 20 / 9.50 and press ENTER."},"desmos":{"expression":"20 / 9.50","instructions":"Type 20 / 9.50 in the entry bar to get the decimal result."},"description":"Calculate 20 divided by 9.50 to find the batteries per pound for Pack C."}],"highlights":[{"text":"20 batteries for £9.50","location":"specification"}]},{"type":"text","order":4,"title":"Compare and conclude","content":"Now we compare the number of batteries per £1 for each pack:\n- **Pack A**: $2$ batteries per £1\n- **Pack B**: $2.22$ batteries per £1\n- **Pack C**: $2.11$ batteries per £1\n\nComparing these results:\n$$2.22 > 2.11 > 2$$\n\nSince **Pack B** gives the highest number of batteries for every pound spent, it offers the best value for money.\n\n*(This final conclusion earns you the accuracy mark A1)*"}]},{"id":"d45bf247-208d-43b1-8223-8c9757bde628:common_multiple","label":"Scaling to a Common Quantity","steps":[{"type":"text","order":0,"title":"Find a common quantity","content":"To compare the value of the three battery packs, we can scale up the quantities to find how much it would cost to buy the same total number of batteries from each pack.\n\nLet's find a common multiple of the battery quantities: $10$, $12$, and $20$.\n\nA convenient common

Best Buy Questions

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Best Buy Questions Questions

Best Buy Questions

Question 2

Best Buy Questions Questions