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<a https://www.thestudentroom.co.uk/showthread.php?t=7467335'> Year 12s: what will be the first way you research your future options? >>
<a https://www.thestudentroom.co.uk/showthread.php?t=7467335'> Year 12s: what will be the first way you research your future options? >>

Help on gcse question

Someone please explain this nonsense
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Reply 1
Avatar for Zacken
Zacken
22
Original post by penelopecrux
Someone please explain this nonsense


Let's analyse both shops separately.

Shop 1: She should buy 5 t-shirts and get 3 free. Then buy another 5 and get another 3 free (total count is now at 5 + 5 + 3 + 3 = 16). Then buy another 5 and get 3 free (total count is 16 + 5 + 3 = 24). She should now buy another 2 and get 1 free (24 + 2 + 1 = 27) and then buy another 2 and get 1 free (27 + 2 + 1 = 30).

In total she paid only for 5 + 5 + 5 + 2 + 2 t-shirts at 12 quid each. How much money is that?

Shop 2: She buys 30 t-shirts at 12 quid each. How much money is that? Now take that number and divide by 3 to get the reduced price. This is her total cost at shop 2.

Now check which price is smaller, that's the better shop.
The bottom one would cost £240 pounds £12x30 = 360/3 *2 £240

For the top I would buy 24 using the 8 deal so you spending money on 15 and getting 9 for free. 15 x12= 180
Then you still need 6 shirts and I would use the 3 deal so you are paying for 4 and getting 2 for free 4x12= 48
180+48= £228

So the top deal is better
Original post by Zacken
Let's analyse both shops separately.

Shop 1: She should buy 5 t-shirts and get 3 free. Then buy another 5 and get another 3 free (total count is now at 5 + 5 + 3 + 3 = 16). Then buy another 5 and get 3 free (total count is 16 + 5 + 3 = 24). She should now buy another 2 and get 1 free (24 + 2 + 1 = 27) and then buy another 2 and get 1 free (27 + 2 + 1 = 30).

In total she paid only for 5 + 5 + 5 + 2 + 2 t-shirts at 12 quid each. How much money is that?

Shop 2: She buys 30 t-shirts at 12 quid each. How much money is that? Now take that number and divide by 3 to get the reduced price. This is her total cost at shop 2.

Now check which price is smaller, that's the better shop.


but how did you know u get 24 and then 6?
Reply 4
Avatar for JM999
JM999
9
First shop- He will pay £228: He'll pay for 15 t shirts and get 9 free, and the pay for 4 t shirts and get another two free. Paying for 15 t shirts costs £180 (15x12) and paying for 4 t shirts costs £48 (4x12). 180+48=228
Second shop- Normal price of buying 30 t shirts would be 12x30, which is £360. However, he gets 1/3 off of that price. 1/3 of 360=120. 360-120=240. So in the second shop he will be paying £240. This is more expensive than in the first shop.
Reply 5
Avatar for Zacken
Zacken
22
Original post by penelopecrux
but how did you know u get 24 and then 6?


Basically, in my head, I knew that the way to get the most out of the deal is to use up the 5 t-shirts deal as much I can since that's the best deal. But once I get to 15 + 3 + 3 +3 = 24 t-shirts then if I use the 5 t-shirt deal again, I get 24 + 5 + 3 > 30 , which is a waste of money since I only need 30 t-shirts. So once I get to 24, then I switch to use 2 t-shirts deal as that can get me to the number 30 exactly and save money.
Original post by Zacken
Basically, in my head, I knew that the way to get the most out of the deal is to use up the 5 t-shirts deal as much I can since that's the best deal. But once I get to 15 + 3 + 3 +3 = 24 t-shirts then if I use the 5 t-shirt deal again, I get 24 + 5 + 3 > 30 , which is a waste of money since I only need 30 t-shirts. So once I get to 24, then I switch to use 2 t-shirts deal as that can get me to the number 30 exactly and save money.


ahh ok i got u, thanks m8
Reply 7
Avatar for Zacken
Zacken
22
Original post by penelopecrux
ahh ok i got u, thanks m8


Awesome.

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