11+ maths paper help!

[amidaiwish]

despite my A at GCSE i can't help dd with this question from an 11+ practice paper...

6 lollies and 3 ice creams cost £8.52
3 ice creams and 6 drinks cost £9.24
What would be the cost of 1 lolly, 1 ice cream and 1 drink?

TIA!

[CrumbsThatsQuick]

add it all together- 6 ice creams 6 lollies and 6 drinks cost 8.52 plus 9.24
then divide by 6 to find cost of 1 of each

[amidaiwish]

oh fgs thank you.

here's what i was trying...
6l + 3i = 8.52
3i + 6d = 9.24
so 6l -8.52 = 3i
etc etc

[CecilyP]

You were trying to find the cost of the individual items, (as might be asked in a GCSE question, though impossible from what's been given) rather than the cost of a single set of the 3 items.

[fuzzpig]

That got me confused too! I always jump in with the simultaneous equation type method for those sorts of questions, but this one is more logic in a way - I hate the phrase 'think outside the box' but it's that kind of thing!

[TheFirstOfHerName]

I would have tried to overcomplicate this with simultaneous equations too.

[ImperialBlether]

Crumbs, that doesn't tell you the cost of each!

[TheFirstOfHerName]

They're not asking for the cost of each. Just the total cost of 1 of each.

[MinimalistMommi]

But it looks like lollies and icecreams combined cost less than icecreams and drinks combined?

[Hakluyt]

I don't think you can do it without another "line" of facts......is there a typo?

[AlphaBravoHenryFoxtons]

Add the two sums together and divide by six (as the two sums are fir six lollies, six ice creams and six drinks).

[AlphaBravoHenryFoxtons]

PS My 7 year old got it immediately.

[MinimalistMommi]

OP do you have the answer sheet for this? I would love to know the 'official' answer! My DD is doing 11 + in September...I'm not sure how she would find this question

[MinimalistMommi]

Alpha your answer sounds good and makes sense.

[Lucinda1234567]

Well Well it seams you are clearly uneducated and should go and do your GCSE again. Anything under an A is absolutly preposterous. The answer is so obvious I don't see how you can miss it. All my children got A in practice GCSE papers under 9 years old. You must start in year 1 again.

[AlphaBravoHenryFoxtons]

It's not really a maths question, it's a verbal reasoning question with a bit of simple addition and simple division thrown in.

[LooksLikeImStuckHere]

Just to throw my 2p in (don't worry, it won't add to the total )...

If you suppose a lolly costs 90p then an ice cream will be £1.04.

If the ice cream is £1.04 then the cost of a drink will be £1.02.

[LooksLikeImStuckHere]

That was without sitting do equations, it was by starting of by assuming the lolly was £1 and seeing if the remaining amount was divisible by 3. It wasn't so I dropped the amount by 10p and that worked.

[LooksLikeImStuckHere]

doing

[ImperialBlether]

I agree that there is a missing line. We need to know the cost of one item in order to know the cost of each item. It just doesn't make any sense otherwise.

[titchy]

IT DOESNT ASK FOR THE COST OF EACH INDIVIDUAL ITEM!!!! It asks for the total cost of one of each, so how much altogether would an ice cream, a lolly and a drink cost. Not how much is an ice cream; how much is a lolly and how much is a drink.

[LooksLikeImStuckHere]

ALRIGHT!

I was perfectly aware that it was for all three but was suggesting a different way of working it out, because not all children work things out the same way.

[titchy]

Sorry looks i was responding to imperial!

[senua]

Dividing the first equation by 6 gives you
one lolly + half an ice = £1.42

Ditto second equation
one drink + half an ice = £1.54

Add the two new equations together
one lolly + one drink + one ice = £2.96

(a variation on what alpha said)

It sometimes pays to second-guess the examiner, they do like their integers. I noticed that both the currencies divided by six so I went with that and then it sort of fell into place from there.