Question

You have Pennies and nickles that are equal to $8.80. You have twice the number of nickles than Pennies. Write an equation for this problem. How many nickles do you have and how many Pennies do you have? PLS SOLVE FAST OMG!!!

Answer 1

80 pennies, 160 nickels

Explanation:

Let p = number of pennies (each worth 1 cent) and n=number of nickels (each worth 5 cents). $8.80 = 880 cents.

`p + 5n = 880`

`n = 2p`

`p + 5(2p) = 880`

`p + 10p = 880`

`11p = 880`

`p = 80`

`n = 2 * 80 = 160`

`80 + 5(160) = 80 + 800 = 880`

80 pennies, 160 nickels

Answer 2

80 pennies

160 nickels

Explanation:

1 dollar = 100 pennies ⇒ 0.01 dollars = 1 penny

1 dollar = 20 nickels ⇒ 0.05 dollars = 1 nickel

Let p = number of pennies

Let n = number of nickels

equation 1: n = 2p

equation 2: 0.01p + 0.05n = 8.80

Substitute equation 1 into equation 2 and solve for p:

⇒ 0.01p + 0.05(2p) = 8.80

⇒ 0.01p + 0.1p = 8.80

⇒ 0.11p = 8.80

⇒ p = 80

substitute found value fo p into equation 1 and solve for n:

⇒ n = 2(80)

⇒ n = 160