Question

Wes mixed different juices to make fruit punch. He filled one-half of the punch bowl with orange juice. Then he filled half of the remaining space with grape juice. Finally, he filled the rest of the punch bowl with 300\text{ mL}300 mL300, start text, space, m, L, end text of cherry juice.
How many liters of fruit punch did Wes make?
111 liter =1000=1000equals, 1000 milliliters
How many liters

Answer 1

Answer:

1.2 litres

Step-by-step explanation:

Let the whole volume of the punch bowl be denoted as $x$

When Wes filled one-half of the punch bowl with orange juice, the remaining space was $x-\frac{1}{2}x =\frac{x}{y}x$

After he filled half of the remaining space with grape juice, this was a volume of $\frac{1}{2} *\frac{1}{2} x=\frac{1}{4}x$

The remaining space was then;

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

If this space was then filled by 300ml of cherry juice which then occupied 0.25x of the punch bowl.

if 0,25x = 300ml, what about x?

$0.25x=300\\x=\frac{300}{0.25}\\ x=1200ml$

Wes made 1200 ml  of the fruit punch.

But we need to convert this figure into litres as follows;

if 1000ml = 1litre, how about 1200ml?

we do cross-multiplication

$amount=\frac{1200}{1000}=1.2litres$

Therefore Wes made 1.2 litres of fruit punch