SOLUTION: You have 28 coins that are all nickles and dimes. The value of the coins together is $2.05. Write and solve a system of equations that will indicate how many of each coin you have.
Algebra ->
College
-> Linear Algebra
-> SOLUTION: You have 28 coins that are all nickles and dimes. The value of the coins together is $2.05. Write and solve a system of equations that will indicate how many of each coin you have.
Log On
Question 522470: You have 28 coins that are all nickles and dimes. The value of the coins together is $2.05. Write and solve a system of equations that will indicate how many of each coin you have. Answer by oberobic(2304) (Show Source):
You can put this solution on YOUR website! n = number of nickels
5n = value of the nickels in cents
d = number of dimes
10d = value of the dimes in cents
.
5n + 10d = 205 cents
.
n + d = 28
so
n = 28-d
.
substitute
.
5(28-d) +10d = 205
.
140 -5d + 10d = 205
.
5d = 65
.
d = 13
.
n = 28-d = 28-13 = 15
.
Check the values to be sure this is the answer:
5n = 5(15) = 75
10d = 10(13) = 130
75+130=205
Correct.
.
Answer: 15 nickels and 13 dimes.
.
Done.
(