Let, the number of dimes be x.
Given, Brooklyn has three times as many nickels as dimes.
So number of nickels = [tex] 3x [/tex]
We know that 1 nickel = $0.05
So, 3x nickels = $[tex] (0.05)(3x) [/tex] = $[tex] (0.15x) [/tex]
And 1 dime = $0.1
So, x dimes = $[tex] (0.1)(x) [/tex] = $[tex] (0.1x) [/tex]
Given, total value of the coins = $4.
So, we can write the equation,
[tex] (0.15x)+(0.1x) = 4 [/tex]
[tex] 0.15x+0.1x = 4 [/tex]
[tex] 0.25x = 4 [/tex]
To find x, we have to move 0.25 to the other side by dividing it to both sides. We will get,
[tex] \frac{0.25x}{0.25} =\frac{4}{0.25} [/tex]
[tex] x =\frac{4}{0.25} [/tex]
[tex] x = 16 [/tex]
So, number of dimes = 16.
Number of nickels = [tex] 3x [/tex] = [tex] 3(16) = 48 [/tex]
So we have got the required answer.
Number of dimes = 16 and number of nickels = 48.
