. A pitcher contains 8/10 liter of juice and is used to fill cups that hold 1/5.

Mathematics

1 answer:

jeyben [28]3 years ago

8 0

Answer:

4 cups can be filled

Step-by-step explanation:

1/5 is equal to 2/10 liter of juice.

Therefore 4*2/10 is equal to 8/10 which means that 4 1/5 liter cups can be filled with 8/10 liter of juice.

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A yoga studio offered a special for high school students where new students could join for half off of the monthly fee (includes

Eva8 [605]

Given:

the discounted price was offered by the yoga studio at 50% off the regular price 'r' (monthly fee).
the one-time processing fee is $8.25
10 students took this offer and the yoga studio collected $392.50

To Find:

The regular price of the monthly fee 'r'

Solution:

The equation can be framed as

$(r-\frac{50}{100}.r)+8.25=39.25\\\frac{50}{100}.r+8.25=39.25\\\frac{r}{2}+8.25=39.25\\\frac{r}{2}=31\\r=(31)(2)=62$

And, the regular price of the monthly fee is $62.

Calculation:

We know that 10 students took the offer and the yoga studio collected $392.50. This means, using the Unitary Method, the studio has collected $(392.50/10) = $39.25 per student.

Now, if r denotes the regular price of the monthly fee, the offer runs a 50% discount on r.

So, the discounted price should be $(r - 50% of r) i.e., $r-\frac{50}{100}.r$