the value of nickels and quarters is 1.60. If there are one third as many nickels as quarters how many nickels are there? please put an explanation as to how you got your answer.

Respuesta :

An equation is formed when two equal expressions are equated together with the help of an equal sign '='. There are 2 nickles and 6 quarters.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of nickles be represented by x, while the number of quarters be represented by y. Given here are one third as many nickels as quarters, therefore, we can write,

x = (1/3)y

The value of  nickels and quarters is 1.60. Therefore, we can write,

0.05x + 0.25y = 1.60

substitute the value of x form the above equation,

0.05[(1/3)y] + 0.25y = 1.60

y = 6

Substitute the value of y in the first equation,

x = (1/3)6

x = 2

Hence, there are 2 nickles and 6 quarters.

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