Question

Problem of the Week Problem C Painting the Way

Answer 1

Answer: Alexia, Benito and Carmen will paint 58.3%, 29.2% and 12.5% of the path, respectively.

Step-by-step explanation: Percentage is a ratio expressed as a fraction of 100, i.e., it represents a part from a total multiplied by 100.

In the way they decided to paint, they will have painted 120 m.

Alexia will paint 70 m. So the percentage is

$\frac{70}{120}.100$ = 58.3%

Benito will paint the next 15 m. The percentage is

$\frac{15}{120}.100$ = 12.5%

Carmen will paint the next 35 m. The percentage is

$\frac{35}{120}.100$ = 29.2%

Now, since it is a ratio, which means it is a proportion, percentage for all the path will be the same as the percentage of only a part of the path.

Then, the answer is Alexia will paint 58.3%, Benito, 12.5% and Carmen, 29.2% of the 5 km path.