hunterofdeath63

Answered

2021-12-18

The number of dimes inside the bag.

Given: A bag contains quarters and dimes in a ratio of 3:5 and there is $6 in quarters in the bag.

Given: A bag contains quarters and dimes in a ratio of 3:5 and there is $6 in quarters in the bag.

Answer & Explanation

veiga34

Expert

2021-12-19Added 32 answers

Calculation:

Let the number of dimes in the bag be x.

Given that the quarters in the bag make $6. SInce 1 quarter is equivalent to $0.25, so the total number of quarters in the bag would be,

$\frac{6}{0.25}=24$ quarters

Now given that the ratio of quarters and dimes in the bag is 3:5, so it gives

$\frac{\text{Number of quarters}}{\text{Number of dimes}}=\frac{3}{5}$

$\frac{24}{x}=\frac{3}{5}$

$24\times 5=3\times x$

$120=3x$

$x=\frac{120}{3}$

$x=40$

Thus, there are 40 dimes inside the bag.

Let the number of dimes in the bag be x.

Given that the quarters in the bag make $6. SInce 1 quarter is equivalent to $0.25, so the total number of quarters in the bag would be,

Now given that the ratio of quarters and dimes in the bag is 3:5, so it gives

Thus, there are 40 dimes inside the bag.

Bubich13

Expert

2021-12-20Added 36 answers

Step 1

Given:$\frac{6}{0.25}=24$ quarters

The formula:$\frac{\text{Number of quarters}}{\text{Number of dimes}}=\frac{3}{5}$

$\frac{24}{x}=\frac{3}{5}$

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5x, the least common multiple of x,5.

$5\times 24=3x$

Multiply 5 and 24 to get 120.

$120=3x$

Swap sides so that all variable terms are on the left hand side.

$3x=120$

Divide both sides by 3.

$x=\frac{120}{3}$

Divide 120 by 3 to get 40.

$x=40$

Given:

The formula:

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5x, the least common multiple of x,5.

Multiply 5 and 24 to get 120.

Swap sides so that all variable terms are on the left hand side.

Divide both sides by 3.

Divide 120 by 3 to get 40.

nick1337

Expert

2021-12-28Added 573 answers

Step 1

For the equation

The cross product is

Solving for x

And reducing

x=40

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