James has 55 dimes
Step-by-step explanation:
Let n be the number of nickles
and
d be the number of dimes
Then
[tex]n+d = 77\ \ \ Eqn\ 1[/tex]
As we know,
1 nickle = 5 cents
1 dime = 10 cents
and
6.60 dollars = 660 cents
So the 2nd equation will be:
[tex]5n+10d = 660\ \ \ Eqn\ 2[/tex]
From eqn 1
[tex]n = 77-d[/tex]
Putting in eqn 2
[tex]5(77-d) +10d = 660\\385-5d+10d = 660\\385+5d = 660\\5d = 660-385\\5d = 275[/tex]
Dividing both sides by 5
[tex]\frac{5d}{5} = \frac{275}{5}\\d = 55[/tex]
Putting d = 55 in eqn 1
[tex]n+d = 77\\n+55 = 77\\n = 77-55\\n = 22[/tex]
Hence,
James has 55 dimes
Keywords: Linear equation, slope
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