SOLUTION: Please help me with this question. Bob has a coin collection made up of pennies and nickels if he has three times as many pennies as nickels and the total face value of coins $4

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Question 982872: Please help me with this question.
Bob has a coin collection made up of pennies and nickels if he has three times as many pennies as nickels and the total face value of coins $416 how many coins of each kind are in the collection?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Bob has a coin collection made up of pennies and nickels
if he has three times as many pennies as nickels
and the total face value of coins $416
how many coins of each kind are in the collection?
:
let p = no. of pennies
let n = no. of nickels
:
Write an equation for each statement
:
" he has three times as many pennies as nickels"
p = 3n
:
"the total face value of coins $416 "
.01p + .05n = 416
replace p with 3n (from the first statement)
.01(3n) + .05n = 416
.03n + .05n = 416
.08n = 416
n = 416/.08
n = 5200 nickels
:
Find the no. of pennies
p = 3(5200)
p = 15600 pennies
:
:
Check this find the $value of each coin
.01(15200) = $156 in pennies
.05(5200) = $260 in nickels
----------------------------
total value: $416
:
How about this, was it understandable to you? ankor@att.net