Question 644030: if a child's has $8.56 in pennies and nickles if the number of pennies is 18 less than 14 times the number of nickles, how many nickles do he have
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! if a child's has $8.56 in pennies and nickles
if the number of pennies is 18 less than 14 times the number of nickles,
how many nickles does he have
:
Let p = no. of pennies
let n = no. of nickels
:
The $amt equation
.01p + .05n = 8.56
:
" the number of pennies is 18 less than 14 times the number of nickles, "
p = 14n - 18
:
In the 1st equation, replace p with (14n-18)
.01(14n-18) + .05n = 8.56
.14n - .18 + .05n = 8.56
.14n + .05n = 8.56 + .18
.19n = 8.74
n = 8.74/.19
n = 46 nickels
:
Find the no. of pennies
p = 14n - 18
replace n with 46
p = 14(46) - 18
p = 644 - 18
p = 626 pennies
:
:
see if the checks out
.01(626) + .05(46) =
6.26 + 2.30 = 8.56, confirms our solutions
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