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Bocephus has a bag full of nickels and dimes. If there are 3 times as many dimes as nickels, and he has $\$36.05$ in his bag, how many nickels does he have?

Respuesta :

calculista

Answer:

[tex]103\ nickels[/tex]

Step-by-step explanation:

Let

x------> the number of nickels

y-----> the number of dimes

we know that

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

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

[tex]0.05x+0.10y=36.05[/tex]

Multiply by 100 both sides

[tex]5x+10y=3,605[/tex] ------> equation A

[tex]y=3x[/tex] ------> equation B

substitute equation B in equation A

[tex]5x+10(3x)=3,605[/tex]

[tex]5x+30x=3,605[/tex]

[tex]x=3,605/35=103\ nickels[/tex]

Answer:

103

Step-by-step explanation:

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