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Viktor [21]
3 years ago
12

Aladdin has 12 gold coins in his magic bag. The Genie tells him that for every 100 gold coins he has in his magic bag, he will g

et 25 extra gold coins every year. How many years later will Aladdin have 21 gold coins in his bag?
Mathematics
2 answers:
son4ous [18]3 years ago
7 0

Answer:

There is not enough information to answer this question. He only has 12 in his bag so he wont be able to get the 25 coins

Step-by-step explanation:

Salsk061 [2.6K]3 years ago
5 0

Answer:

7 years.

Step-by-step explanation:

We have been given that Aladdin has 12 gold coins in his magic bag. The Genie tells him that for every 100 gold coins he has in his magic bag, he will get 25 extra gold coins every year.

First of all, we will find increment rate of gold coins by finding 25 is what percent of 100 as:

\frac{25}{100}\times 100\%=25\%

The increase in coins in one year would be 25% of 12 that is \frac{25}{100}\times 12=\frac{1}{4}\times 12=3 coins.

Now we will use proportions to solve our problem as:

\frac{\text{Year}}{\text{Coins}}=\frac{1}{3}

\frac{\text{Year}}{21}=\frac{1}{3}

\frac{\text{Year}}{21}\times 21=\frac{1}{3}\times 21

\text{Year}=7

Therefore, 7 years Aladdin will have 21 gold coins in his bag.

 

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What is a rational and irrational number?
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Step-by-step explanation:

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8 0
2 years ago
The hypotenuse of a right triangle is 37 units long. Find the other two sides if the perimeter of the triangle is 84 units. Sepa
taurus [48]

Answer:

The lengths of the legs are 12 and 35 units

Step-by-step explanation:

Let c represent the hypotenuse and a and b represent the legs.  Then the Pythagorean Theorem requires that a^2 + b^2 = c^2 = 37^2 = Hypotenuse^2

Also:  a + b + c = Perimeter = 84 units.  

Since c = 37 units, a + b + 37 units = 84 units, or a + b = 47 units, or a = 47 - b.

Then a^2 + b^2 = 37^2 becomes (47 - b)^2 + b^2 = 37^2, or 1369.  Therefore:

2209 - 94b + b^2 + b^2 = 1369.

Simplifying by combining like terms, we get:  

840 - 94b + 2b^2 = 0, which is a quadratic equation in standard form.

Reducing all terms by division by 2, we get:

420 - 47b + b^2 = 0.  Here the coefficients are a = 1, b = -47 and c = 420.

The discriminant is therefore b^2 - 4ac, or 529, whose square root is ± 23.

Then the b values of this quadratic in b are

      47 ± 23

b = -------------- , so that b is either 35 or 12

             2

and then side a has length a = 47 - b = 12  or  35.

Thus, a = 12 and b = 35, and c is given:  37.

Check:  Is 12^2 + 35^2 = 37^2 true?  Is 144 + 1225 = 1369?  YES

The lengths of the legs are 12 and 35 units.

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Answer the answer is 25




Explanation:
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