SOLUTION: Lita has 15.50 pesos more than Rosa.If together they have 71.50 pesos,how much does each girl have?

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Question 1090127: Lita has 15.50 pesos more than Rosa.If together they have 71.50 pesos,how much does each girl have?

Answer by EMStelley(208) About Me  (Show Source):
You can put this solution on YOUR website!
We start by naming variables that represent how much each girl has.
Let L = number of pesos Lita has
Let R = number of pesos Rosa has
The first sentence "Lita has 15.50 pesos more than Rosa" implies that we can use addition to represent this formula.
L+=+15.5+%2B+R
And the second sentence "Together they have 71.50 pesos" also implies addition.
L+%2B+R+=+71.5
So now we have two equations and two unknowns. In order to solve we can use the substitution method. Our first equation has an expression for L, (15.5 + R), so we can replace the L in the second equation with this expression.
%2815.5+%2B+R%29+%2B+R+=+71.5
Now we solve for R.
15.5+%2B+2R+=+71.5
2R+=+56
R+=+28
So Rosa has 28 pesos. To find how many Lita has, we can use either equation to solve for L.
L+%2B+28+=+71.5
L+=+43.5
Thus Lita has 43.50 pesos.