ANSWER
250g of Roquefort cheese will cost
£2.8
Step-by-step explanation
If 150g of roquefort cheese cost £1.68, we can write the ratio,
![150: 1.68](https://img.qammunity.org/2020/formulas/mathematics/middle-school/393bqo0isrkm1kdr4vbhu9y03j5pom80lx.png)
Let 250g of Roquefort cheese cost £x.
Then we can again write the ratio,
![250:x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/mr3x9yb78hcmgoryknkhk8guqhabes5ern.png)
We can equate the two ratios and solve for x.
![150: 1.68 = 250:x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/not1ucwgfynhi5bix3t62sihdwcuz77eyp.png)
We rewrite the ratios as fractions to obtain,
![(150)/(1.68) = (250)/(x)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/p5uck49bteshm3duji7wiknvvcaip5uji5.png)
We cross multiply to get,
![150x = 250 * 1.68](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1nt4qf0mtzo2tdk5fzcuwr68ujdlq6qcc1.png)
This implies that,
![150x = 420](https://img.qammunity.org/2020/formulas/mathematics/middle-school/sdx6k0lgqupnlaoa0lt9taa99dl6pj3if4.png)
Divide both sides by 150 to get,
![x = (420)/(150)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/sgueugakyb6r20909zte1bnovqrzpl7kfb.png)
![x = 2.8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/h34gw32nqqwstkvvk06gyekn1b116auta8.png)
Therefore 250g of Roquefort cheese will cost
£2.8