SOLUTION: Keana’s piggy bank contains $4.30 in nickels and dimes only. If she has 59 coins in her bank, then what is the sum of the digits in the number of nickels in Keana’s bank? Write a
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Question 1060910: Keana’s piggy bank contains $4.30 in nickels and dimes only. If she has 59 coins in her bank, then what is the sum of the digits in the number of nickels in Keana’s bank? Write a system of equations for this situation and find its solution.
Found 2 solutions by algebrahouse.com, josmiceli:
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
n = number of nickels
d = number of dimes
n + d = 59 {she has 59 coins total}
5n + 10d = 430 {value of coin times number of coins equals total value}
-5n - 5d = -295 {multiplied top equation by -5}
5n + 10d = 430 {bottom equation stays the same}
---------------
5d = 135 {added the two equations}
d = 27 {divided each side by 5}
n + d = 59 {first original equation}
n + 27 = 59 {substituted 27, in for d, into first original equation}
n = 32 {subtracted 27 from each side}
27 dimes
32 nickels
For more help from me, visit: www.algebrahouse.com
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of nickels
Let = number of dimes
--------------------------------
(1)
(2)
---------------------------
Subtract (1) from (2)
(2)
(1)
----------------------
and
(1)
(1)
(1)
The sum of the digits in number of nickels
is 5
---------------------
(2)
(2)
(2)
(2)
OK
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