SOLUTION: Jill has $3.50 in nickels and dimes. If she has 50 coins, how many of each type of coin does she have?

Question 71010: Jill has $3.50 in nickels and dimes. If she has 50 coins, how many of each type of coin does she have?
Answer by piglet162431(90) (Show Source): You can put this solution on YOUR website!
soo
let statements:
let x be the number of nickels
let y be the number of dimes
since there are 50 coins, we can say
x+y=50
since in total the value of these coins are $3.50
.05x+.1y=3.50
to make things simply, why not times the equation by 100
5x+10y=350
Now use substitution method.
from the 1st equation, y=50-x
5x+10(50-x)=350
5x+500-10x=350
-5x=-150
x=30
y=20
There are 30 nickels and 20 dimes.

RELATED QUESTIONS
Jill has $3.50 in nickels and dimes. If she has 50 coins, how many of each type of coin... (answered by tutor_paul)

Jill has $3.50 in nickels and dimes. If she has 50 coins, how many of each type of coin... (answered by sprolden)

Jill has $3.50 in nickels and dimes. If she has 50 coins, how many of each type of coin... (answered by jim_thompson5910)

56. Number problems. Jill has $3.50 in nickels and dimes. If she has 50 coins, how many... (answered by AnlytcPhil)

Jill has $3.50 in nickels and dimes. If she has 50 coins, how many of each type of coin... (answered by checkley71)

Jill has $3.50 in nickels and dimes. If she has 50 coins, how many of each type of coin... (answered by fractalier)

Jill has $3.50 in nickels and dimes. If she has 50 coins, how many of each type of coin... (answered by Nate)

Jill has $3.50 in nickels and dimes. If she has 50 coins, how many of each type of coin... (answered by uma)