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Bodhi has a collection of 175 dimes and nickels. The collection is worth $13.30. Which equation can be used to find n, the number of nickels in the collection?

Respuesta :

texaschic101
n + d = 175 .... d = 175 - n
0.05n + 0.10d = 13.30

0.05n + 0.10(175 - n) = 13.30 <== and u would just solve for n
calculista

Let

n-------> the number of nickels

d-------> the number of dimes

we know that

[tex]1\ nickel=\$0.05[/tex]

[tex]1\ dime=\$0.10[/tex]

so

[tex]0.05n+0.10d=13.30[/tex] -----> equation A

[tex]n+d=175[/tex]

[tex]d=175-n[/tex] -------> equation B

substitute equation B in equation A

[tex]0.05n+0.10(175-n)=13.30[/tex] ------> equation that can be used to find n

Solve for n

[tex]0.05n+17.5-0.10n=13.30[/tex]

[tex]17.5-13.30=0.10n-0.05n[/tex]

[tex]0.05n=4.2[/tex]

[tex]n=84\ nickel[/tex]

find the value of d

[tex]d=175-n[/tex]

[tex]d=175-84=91\ dimes[/tex]

therefore

the answer is

The equation that can be used to find n is [tex]0.05n+0.10(175-n)=13.30[/tex]

The number of nickels in the collection is [tex]84\ nickel[/tex]