Question

A large block of cheese was divided into 100 parts. Billy bought two-tenths of it. If each division of the cheese block costs 2 cents, then how much money did Billy pay for the cheese blocks?

• A. 40 cents
• B. 60 cents
• C. 20 cents
• D. 120 cents

Answer 1

The correct option is A 40 cents

Total divisions of the cheese block $=100$
Fraction of cheese block bought by Billy $=\frac{2}{10}$

Let’s find the equivalent fraction of $\frac{2}{10}$.

$\frac{2}{10}=\frac{2\times 10}{10\times 10}=\frac{20}{100}$

Hence, the total divisions of cheese block bought by Billy $=20$

Cost of 1 division of cheese block = 2 cents
Cost of 20 divisions of cheese block = Cost of 1 division of cheese block $\times 20$
$=2\times 20=40$ cents

Hence, option C is the correct answer.