Algebra 1
posted by Raman on .
Janella has only quarters dimes and pennies in her pocket thee are eight coins in all and their total value is 83 cents how many of each type of coins does Janella have?

number of quarters= x
number of dimes = y
number of pennies =8xy
value:
25x + 10y + 1(8xy) = 83
24x+ 9y = 75
9y = 75  24x
3y = 25  8x
25 8x must be a positive multiple of 3
so clearly x can only be 1 , 2, or 3
of those only x = 2 will work
if x = 2
3y = 2516 = 9
y = 3
number of quarter = 2
number of dimes = 3
number of pennies = 823 = 3
check: does she have 8 coins ? YES
what is the value of those 8 coins?
2(25) + 3(1) + 3(1) = 83 , YEAHHHH