Video: GCSE Mathematics Foundation Tier Pack 1 • Paper 3 • Question 5

GCSE Mathematics Foundation Tier Pack 1 • Paper 3 • Question 5

02:59

Video Transcript

Jodie has made three kilograms of bread dough. A medium-sized loaf of bread needs 350 grams of dough. How many medium-sized loaves can be made from the dough that Jodie made?

Well, there’re actually a couple of ways that we can tackle this problem. So I’m gonna show you both of them. Okay, first of all, let’s actually get three kilograms as grams. So we’re gonna actually convert it into grams.

To enable us to do that, what we need to know is that one kilogram is equal to 1000 grams. So therefore, three kilograms is gonna be equal to 3000 grams, and that’s because it’s three multiplied by 1000. So now the first method would be to divide 3000 by 350. And you do that using your calculator. And this gives us a result of 8.57 et cetera. So does that mean we can make 8.57 loaves?

Oh no, we’re only interested in whole loaves. So does this value mean that we can actually make eight or nine loaves? Well, as point 57 is only part of a loaf, therefore, we have to round it down. And we can say that eight loaves can be made from three kilograms of bread dough that Jodie has. So that’s great. We’ve actually solved the problem.

But as I said, what I’m gonna do is actually show you another method that you can use to also answer this question. Well, if we have 350 multiplied by one, take as this 350 grams, so we know if we make one loaf, that’s how much of the dough we’d need. Well then, if we add another 350 grams to make two loaves, then this is 700 grams. And then we add another 350 to our 700. Does it give us 1050 grams, still below the 3000 grams we’ve got. Then we add another 350 grams; we get 1400 grams. Then if we add 350 to 1400, we get 1750. Then we add another 350 to 1750, gives us 2100 grams. Again, we’re still below the 3000 grams that we’ve got from the dough that Jodie made. So then if we add another 350 to 2100, we get 2450, so still below that 3000. And then if we add another 350, well we get 2800, so again this is below our 3000 grams. So it’s okay we can still make this number of loaves.

Well then, if we add 350 to 2800, we actually get 3150. So we can’t do this because actually this is over the 3000 grams that we had. So then, if we count up how many loaves we’ve made, it’s one, two, three, four, five, six, seven, eight. Eight loaves, again, agrees with our first answer. So we can say that actually eight medium-sized loaves could be made from the dough that Jodie made.

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