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