Eleanor claims: \"It is possible for 46 pennies and nickels tohave a total value

Question

Eleanor claims: "It is possible for 46 pennies and nickels tohave a total value of a dollar." Is she right or wrong? Give aconvincing argument to justify your answer. Please solve anyway possible, but if can preferably include anequation. Thank you! :) Eleanor claims: "It is possible for 46 pennies and nickels tohave a total value of a dollar." Is she right or wrong? Give aconvincing argument to justify your answer. Please solve anyway possible, but if can preferably include anequation. Thank you! :)

Explanation / Answer

You are going to need to use substitution here. We'll need toform 2 functions.

x = Number of pennies

y = Number of nickels

Since there are 46 total coins,

x + y = 46

Value-wise, the total number of pennies and nickels must beequal to one dollar.

0.01x + 0.05y = 1

We now have a system of equations. Now, we'll use a variablefrom our first function as we must solve for the second.

Let's use y = x-46

0.01x + 0.05(46-x) = 1

0.01x + 2.30 - 0.05x = 1

0.04x = 1.30

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