Question

$\text{If City A spends}\frac{1}{5}\text{th of its infrastructure budget}\text{on parks and City B spends}\frac{1}{4}\text{th of its infrastructure}\text{budget on parks, choose the city that spends a}\text{bigger fraction of their budget for building parks:}$

• A. City A
• B. City B
• C. Both cities spend equally
• D. Cannot be determined.

Answer 1

The correct option is C Both cities spend equally

$CityA:$

$\text{Fraction of the budget spent on developing}\text{infrastructure}=\frac{1}{4}$


$\text{Fraction of the budget spent on building}\text{parks}=\frac{1}{5}\text{of the infrastructure budget}=\frac{1}{5}\times \frac{1}{4}=\frac{1\times 1}{5\times 4}=\frac{1}{20}$


$CityB:$

$\text{Fraction of the budget spent on developing}\text{infrastructure}=\frac{1}{5}$


$\text{Fraction of the budget spent on building}\text{parks}=\frac{1}{4}\text{of the infrastructure budget}=\frac{1}{4}\times \frac{1}{5}=\frac{1\times 1}{4\times 5}=\frac{1}{20}$


$\therefore \text{Both the cities spend an equal fraction of}$ $\text{their budget on building parks.}$