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Given:
A student has 6 nickel 14 dimes and 8 quarter.
To find:
The ratio of the total number of coins to the number of nickels.
Solution:
We have,
Number of nickels = 6
Number of dimes = 14
Number of quarter = 8
Total number of coins = 6+14+8
= 28
Now, the ratio of the total number of coins to the number of nickels is
[tex]Ratio=\dfrac{\text{Total number of coins}}{\text{Number of nickels}}[/tex]
[tex]Ratio=\dfrac{28}{6}[/tex]
[tex]Ratio=\dfrac{14}{3}[/tex]
[tex]Ratio=14:3[/tex]
Therefore, the ratio of the total number of coins to the number of nickels is 14:3.