ANSWER
250g of Roquefort cheese will cost
£2.8
EXPLANATION
If 150g of roquefort cheese cost £1.68, we can write the ratio,
[tex]150: 1.68[/tex]
Let 250g of Roquefort cheese cost £x.
Then we can again write the ratio,
[tex]250:x[/tex]
We can equate the two ratios and solve for x.
[tex]150: 1.68 = 250:x[/tex]
We rewrite the ratios as fractions to obtain,
[tex] \frac{150}{1.68} = \frac{250}{x} [/tex]
We cross multiply to get,
[tex]150x = 250 \times 1.68[/tex]
This implies that,
[tex]150x = 420[/tex]
Divide both sides by 150 to get,
[tex]x = \frac{420}{150} [/tex]
[tex]x = 2.8[/tex]
Therefore 250g of Roquefort cheese will cost
£2.8
