Question 414585
Let n= the amount of nickel in the coin.
{{{1=(1/5)+(1/10)+(1/40)+(n)}}}
This means that the coin's consistency (represented by the '1,' because all of the materials in the coin should add up to make a whole coin) is equal to all of the materials added together, including the unknown amount of nickel.
To solve this, we should first add together the like terms (all the fractions).
{{{(1/5)+(1/10)+(1/40)=(13/40)}}}
Therefore, we know that:
{{{1=(13/40)+(n)}}}
Finally, to determine the value of n, we should subtract the total amount of non-nickel material from the whole of the coin to determine how much nickel is in it.
{{{1-(13/40)=n}}}
{{{(27/40)=n}}}
Therefore, {{{27/40}}} of the coin is nickel.