Question

Lea has 3/4 cup of laundry detergent left in detergent bottle. Each load of laundry requires 1/6 cup of detergent. How many loads of laundry can Lea wash.

Answer 1

ANSWER

Lea can wash 4½ loads of laundry with the remaining detergent.

EXPLANATION

Quantity of detergent left
$= \frac{3}{4}$

Quantity required to watch each load
$= \frac{1}{6}$

Number of loads Lea can wash
$= \frac{3}{4} \div \frac{1}{6}$

We now simplify this by multiplying with the reciprocal

Number of loads Lea can wash

$= \frac{3}{4} \times \frac{6}{1}$

$= \frac{3}{2} \times \frac{3}{1}$

$= \frac{9}{2}$

$= 4 \frac{1}{2}$

Therefore Lea can wash 4½ loads of laundry with the remaining detergent.