Question

There are 100 cars.


What is the combined fraction of the red and white cars?

• A. $\frac{58}{100}$
• B. $\frac{64}{100}$
• C. $\frac{51}{100}$
• D. $\frac{66}{100}$

Answer 1

The correct option is B $\frac{64}{100}$

There are 100 cars in total.

If 1 star denotes 8 cars, then half a star denotes 4 cars.

$\text{Number of red cars}=8\times 4+4\times 1$
$=32+4$
$=36$

$\text{Number of blue cars =}8\times 4+4\times 1$
$=32+4$
$=36$


$\text{Number of white cars =}8\times 3+4\times 1$
$=24+4$
$=28$

Number of red cars = 36

$\text{∴ Fraction of red cars =}\frac{36}{100}$

Number of blue cars = 36

$\text{∴ Fraction of blue cars =}\frac{36}{100}$

Number of white cars = $28$

$\text{∴ Fraction of white cars =}\frac{28}{100}$

To calculate the combined fraction of red and white cars, add both the fractions.

$\text{∴ Total fraction of red and}$
$\text{white cars =}\frac{36}{100}+$ $\frac{28}{100}$

$=\frac{36+28}{100}$

$=\frac{64}{100}$

$\therefore \frac{64}{100}\text{is the combined fraction of red and white}$

$\text{cars.}$