Problema Solution
Juwan has a change jar that contains only nickels and half dollars. He has 92 coins which add up to a total of $24.40. How many of each type of coin does he have?
Juwan has____nickels.
Juwan has____half dollars.
Answer provided by our tutors
Let
'x' be the number of nickles. Since one nickle is 5 cents this means that he has 5*x cents
'y' be the number of half dollars. This means that he has 50*y cents.
Then we can write down the following
x + y = 90 (the total number of coins)
5*x + 50*y = 24.40*100 ($1 = 100 cents, the total of money he has is $24.40 )
The solution of the system
x + y = 92
5*x + 50*y = 2440
will give the answer
x = 48 nickles
y = 44 half dollars
Juwan has 48 nickels.
Juwan has 44 half dollars.