Answer:
A = $70
B = $35
C = $25
Explanation:
Let A, B and C stand for the money Abby, Ben, and Cam each have.
"Abby has twice as much money as much money as Ben" can be written as:
A = 2B
"Ben has $10 dollars more than Cam" can be written as:
B = C + 10
"Abby, Ben, and Cam have $130 together" can be written as:
A + B + C = $130
Knowing the value of B (from above) we can substitute that definition into the first equation:
A = 2B
A = 2*(C+10)
The total amount of money is: A + B + C = Total
Substituting the two equations above for A and B:
A + B + C = Total
[2*(C+10)] + [C + 10] + C = Total
2C + 20 +C + 10 + C = Total
4C + 20 = Total
We know the total ($130), so we can find C:
4C + 20 = $120
4C = $100
C = $25
We know that B = C + 10
B = $25 + 10
B = $35
We also found that A = 2B
A = 2*($35)
A = $70
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A = $70
B = $35
C = $25
Total = $130 YES (Checks)
Does Abbey have twice as much money as Ben?:
2*($35) = $70 YES
Does Ben have $10 more than Cam?:
$25 + $10 = $35 YES