Write the following comparison as a ratio reduced to lowest terms.
21 nickels to 43 dimes

Answer:

As coins, they are already in their simplest ratio, since 25 and 38 don't have any common factor to divide by. (1 doesn't really count...)

As money, you need to multiply the 25 nickels x 5 cents per nickel, which gives you 125 cents,

and 38 dimes x 10 cents per dime, which gives you 380 cents.

So your new ratio is 125:380, which you can simplify by dividing each by 5, which gives you

25:76

SO, as money the ratio in simplest terms is 25:76. As numbers of coins, it's 25:38

If you think about it, it makes sense because:

10 cents is twice as much as 5 cents, and

76 cents is twice as much as 38 cents.

Hope this helps!

Matt in New York

Ten cents cost twice as much as five cents, and 38 cents are equivalent to twice as much as 76 cents.

Explain about the Ratio?

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value

Since there is no

to divide 25 by and 38 by, they are already in their most basic ratio as coins. (1 is hardly significant...)

To convert the 25 nickels to money, multiply them by the nickel's value, which comes to 125 cents.

and 38 dimes multiplied by 10 cents each, giving you 380 cents.

By dividing each by 5, you can simplify your new ratio of 125:380 and get

25:76

Therefore, the ratio is 25:76 expressed simply as money. It is 25:38 in monetary terms.

It makes sense if you think about it since

Ten cents are twice as expensive as five cents, and

38 cents is double what 76 cents

To learn more about Ratio refer to:

https://brainly.com/question/12024093

#SPJ2

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