SOLUTION: Luis and Julia have the same number of coins. Luis has only dimes and Julia has only quarters.If Julia has $1.80 more than Luis does, how much does each have?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Luis and Julia have the same number of coins. Luis has only dimes and Julia has only quarters.If Julia has $1.80 more than Luis does, how much does each have?      Log On


   

Question 76892This question is from textbook Algebra:Structure and Method
: Luis and Julia have the same number of coins. Luis has only dimes and Julia has only quarters.If Julia has $1.80 more than Luis does, how much does each have? This question is from textbook Algebra:Structure and Method

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Luis and Julia have the same number of coins. Luis has only dimes and Julia has only quarters.If Julia has $1.80 more than Luis does, how much does each have?
:
Let x be the number coins each has:
:
L amt + 1.80 = J amt
.10x + 1.80 = .25x
1.80 = .25x - .10x
1.80 = .15x
x = 1.80/.15
x = 12 coins each
:
:
Check solution
12 * .25 = 3.00
12 * .10 = 1.20
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difference 1.80