Video: GCSE Mathematics Foundation Tier Pack 1 • Paper 3 • Question 15

GCSE Mathematics Foundation Tier Pack 1 • Paper 3 • Question 15

01:53

Video Transcript

Penny makes one kilogram of bolognese. Every 200 grams of bolognese contains 28 grams of protein. Penny divides the bolognese up into eight equal portions. Calculate the mass of protein in each portion of bolognese.

Now, the first thing to notice is that we’ve been given the masses or amounts in this question in different units. The total amount is given in kilogram, whereas the other two are given in grams. We need to remember then how to convert between kilograms and grams. And so we’ll recall that one kilogram is equivalent to 1000 grams. This means that the total mass of bolognese that penny has made in grams this time is 1000 grams.

Now, we want to work out the mass of protein in each portion. But first, we need to work out the mass of protein in the overall amount of bolognese. We’re told that every 200 grams of bolognese contains 28 grams of protein. And we want to know how many grams of protein there are in 1000 grams.

To scale up from 200 grams to 1000 grams, we need to multiply by five as 1000 divided by 200 is five. So we also need to multiply the mass of protein by five. 28 multiplied by five is equal to 140. So there are 140 grams of protein in the total mass of bolognese.

Now, we’re told that penny divides the bolognese up into eight equal portions, which means that they all contain the same amount of protein. To find the mass of protein in each portion, we need to divide the total mass of protein 140 by eight. This gives 17.5.

There are 17.5 grams of protein in each portion of bolognese.

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.