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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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Expand quadratic equation (2x-3)(x+4) = 0​
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Step-by-step explanation:

Simplifying

(2x + -3)(x + -4) = 0

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(-3 + 2x)(-4 + x) = 0

Multiply (-3 + 2x) * (-4 + x)

(-3(-4 + x) + 2x * (-4 + x)) = 0

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(12 + -3x + (-4 * 2x + x * 2x)) = 0

(12 + -3x + (-8x + 2x2)) = 0

Combine like terms: -3x + -8x = -11x

(12 + -11x + 2x2) = 0

Solving

12 + -11x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.

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Subproblem 1

Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying

3 + -2x = 0

Solving

3 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0

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Combine like terms: 0 + -3 = -3

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Divide each side by '-2'.

x = 1.5

Simplifying

x = 1.5

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying

4 + -1x = 0

Solving

4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.

4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0

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-1x = 0 + -4

Combine like terms: 0 + -4 = -4

-1x = -4

Divide each side by '-1'.

x = 4

Simplifying

x = 4

Solution

x = {1.5, 4}

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