A 96-ounce bottle of laundry detergent can be used to wash 64 loads of laundry. What is the total number of loads of laundry that can be washed using a 60-ounce bottle of the same detergent?

Question

1987 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-26T14:09:06

$40 loads$ $color(blue)(40 " loads")$

If:

$96 oz = 64 loads$ $96"oz"=64"loads"$

$1 oz = \frac{64}{96} = \frac{2}{3}$ $1"oz"=64/96=2/3$

Then:

$60 \times \frac{2}{3} = 40$ $60xx2/3=40$

$60 oz$ $60"oz"$ bottle washes $40 loads$ $40 " loads"$

Answer 2 · 2018-06-26T14:12:36

$40$ $40$ loads of laundry can be washed.

Let $x$ $x$ be the number of laundry loads that the 60 ounce bottle can wash. We can describe the problem as a set of ratios:

$96$ $96$ (ounces of detergent) $/$ $//$ $64$ $64$ (loads of laundry) = $60 / x$ $60//x$

Let's set them equal to each other and solve for $x$ $x$ . Let's remember that when $\frac{a}{b} = \frac{c}{d}$ $a/b=c/d$ , $a d = b c$ $ad=bc$ :

$\frac{96}{64} = \frac{60}{x}$ $96/64=60/x$
$96 x = 60 * 64$ $96x=60**64$
$96 x = 3840$ $96x=3840$
$x = 40$ $x=40$

Hope this helped!!