Claudia has received 19 more Xmas cards than Larry.
Larry has received 17 less than Vicki.
Jorge has 8 more cards than Lori.
Vicki has received 5 more than Jorge.
Larry & Jorge have 44 between them.
How many have the 5 received between them?
Lori = x
Jorge = (x + 8)
Larry = 44 - Jorge = 44 - x - 8 = (36 -x)
Vicki = 17+Larry = 17+36 - x = (53-x)
Claudia = 19+Larry = 19+36-x =(55-x)
Vicki = 5+Jorge = 5+x+8 = (x + 13)
add (note 3 positive x and three negative x so no x in answer)
165
=( man I've been solving for a long time but there's another answer posted while I was solving! Oh well I'll post mine in a few minutes.
Wow that's hard. I solved it and, assuming each person got one card, got:
Claudia got 31 cards.
Larry got 12 cards.
Vicki got 29 cards.
Jorge got 32 cards.
Lori got 24 cards.
I set up the equation algebraicly. I'll leave you to do the adding (not to be mean or anything) and I hope I helped! Oh, and I used mostly Claudia to get the number for my equations.
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To determine how many cards Larry and Jorge have received between them, we need to add the number of cards each of them individually has received. We can then use that total to find how many cards the five of them have received together.
Let's define the number of cards Larry has received as L, the number of cards Jorge has received as J, the number of cards Vicki has received as V, the number of cards Lori has received as O, and the number of cards Claudia has received as C.
We are given the following information:
1) Claudia has received 19 more Xmas cards than Larry:
C = L + 19
2) Larry has received 17 less than Vicki:
L = V - 17
3) Jorge has 8 more cards than Lori:
J = O + 8
4) Vicki has received 5 more than Jorge:
V = J + 5
5) Larry and Jorge have 44 cards between them:
L + J = 44
Now, let's solve the system of equations to find the values of L, J, V, O, and C.
First, let's substitute equation 3 into equation 4:
V = (O + 8) + 5
V = O + 13
Now, let's substitute equation 2 into the new equation 4:
V = (L + 19) + 13
V = L + 32
Now, let's substitute this new equation for V back into equation 2:
L = (L + 32) - 17
L - L = 32 - 17
0 = 15
This equation has no solution, which means there is an inconsistency in the given information. Therefore, we cannot determine how many cards Larry and Jorge have received between them based on the given information.