Respuesta :

Answers:  80 pennies and 160 nickels

============================================================

Explanation:

We have n = 2p, which means we can replace every copy of n with 2p like so

0.01p + 0.05n = 8.80

100*(0.01p + 0.05n) = 100*8.80

p + 5n = 880

p + 5(2p) = 880

p + 10p = 880

11p = 880

p = 880/11

p = 80

There are 80 pennies

This leads to n = 2p = 2*80 = 160 nickels

------------------

Check:

80 pennies = 80 cents

160 nickels = 5*160 = 800 cents

80 pennies + 160 nickels = 80 cents + 800 cents = 880 cents = $8.80

The answers are confirmed.

Answer:

Madi has 80 pennies and 160 nickels

Step-by-step explanation:

Because we know [tex]n=2p[/tex], we can substitute [tex]n[/tex] for [tex]2p[/tex] in the other equation, that way you only have to work with one variable:

[tex]0.01p+0.05n=8.80[/tex]

[tex]0.01p+0.05(2p)=8.80[/tex]

[tex]0.01p+0.1p=8.80[/tex]

[tex]0.11p=8.80[/tex]

[tex]p=80[/tex]

Now we can plug our value of [tex]p[/tex] into the equation [tex]n=2p[/tex] to get the number of nickels:

[tex]n=2p[/tex]

[tex]n=2(80)[/tex]

[tex]n=160[/tex]

So, Madi has 80 pennies and 160 nickels.

Otras preguntas