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what is the ratio of quarters to nickels in a dollar

Sagot :

carlosego

For quarters we have:

[tex] 0.25x = 1
[/tex]

Where,

x: number of quarters

Clearing x we have:

[tex] x = \frac{1}{0.25}

x = 4
[/tex]


For nickels we have:

[tex] 0.05y = 1
[/tex]

Where,

y: number of nickels

Clearing y we have:

[tex] y = \frac{1}{0.05}

y = 20
[/tex]


Then, the ratio of quarters to nickels is:

[tex] \frac{x}{y}= \frac{4}{20}
[/tex]

Simplifying we have:

[tex] \frac{x}{y} = \frac{1}{5}
[/tex]


Answer:

The ratio of quarters to nickels in a dollar is:

[tex] \frac{x}{y}= \frac{1}{5} [/tex]

Answer:

5 : 1 is the ratio of quarters to nickels in a dollar.

Step-by-step explanation:

Using the conversion:

1 quarter = $0.25

1 nickel = $0.05

We have to find the ratio of quarter to nickels in a dollar.

[tex]\frac{\text{1 quarters}}{\text{1 nickel}}[/tex]

Using conversion we have;

[tex]\frac{0.25}{0.05} = \frac{25}{5}[/tex]

Simplify:

[tex]\frac{5}{1}[/tex]

or

5 : 1

Therefore, the ratio of quarters to nickels in a dollar is, 5 : 1

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