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pochemuha
3 years ago
7

A bottle contains 34 gallon of fruit punch. If 6 people share the fruit punch equally, how much fruit punch does each person get

Mathematics
1 answer:
Feliz [49]3 years ago
5 0

Answer:

17/3 or in decimal form, 5.67 gallons for each person.

Step-by-step explanation:

If 34 gallons of fruit punch will be shared equally with 6 people, just divide 34 by 6.

34/6 = 17/3 or in decimal form, 5.67 gallons for each person.

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phyllis invested 66000 dollars, a portion earning simple interest rate of 5% per year and the rest earning a rate of 7% per year
Lelechka [254]

<u>Answer: </u>

Physliis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

<u>Solution:</u>

Let Phyllis invest ‘x’ dollar at 5% per year and (66000-x) dollar at 7% per year.

We know,

\text { Simple interest }=\frac{\text {Principal} \times r a t e \times T i m e}{100}

In the question it is given that Simple interest earned from both the investments at the end of the year is $3980.

Using the given below equation, we will try to find out the investments at each rate.

\begin{array}{l}{\frac{x \times 5 \times 1}{100}+\frac{(66000-x) \times 7 \times 1}{100}=3980} \\\\ {\frac{5 x}{100}+\frac{462000-7 x}{100}=3980} \\\\ {\frac{5 x+462000-7 x}{100}=3980} \\\\ {-2 \mathrm{x}+462000=3980 \times 100} \\\\ {-2 \mathrm{x}=398000-462000} \\\\ {-2 \mathrm{x}=-64000} \\\\ {\mathrm{x}=\frac{-64000}{-2}}\end{array}

x = 32000

We can calculate amount for 7% interest rate by,

(66000-32000) =34000

Thus Phyllis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

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3 years ago
Roberto has $200 in spending money. He wants to buy some video games that cost $25.50 each. Write and solve an inequality to fin
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Step-by-step explanation:

200.00 / 25.50 = 7 games

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