Answer:
Lina saved $3,050
Mindy saved $3,150
Kari saved $6,300
Explanation:
Let:
M = Mindy
L = Lina
K = Kari
Based on the scenario let's make equations!
Mindy has $100 more than Lina
M = L + $100
Kari has twice as much as Mindy
K = 2(M)
Three sisters saved a total of $12,500
K + M + L = $12,500
Let's put together some of our equations so we can have a single variable.
K = 2(M)
M = L + $100
We plug in the equation of M into the K equation
K = 2(L + $100)
So now we can solve for L using the last equation and by plugging in the new equation:
K + M + L = $12,500
2(L + $100) + (L + $100) + L = $12,500
Distribute
2L + $200 + L + $100 + L = $12,500
Combine like terms:
4L + $300 = $12,500
Subtract $300 from both sides of the equation:
4L + $300 - $300 = $12,500 - $300
4L = $12,200
Divide both sides by 4:
4L/4 = $12,200/4
L = $3,050
Now we use this value of L to solve the others.
M = L + $100
M = $3,050 + $100
M = $3,150
Then we use this to solve the next:
K = 2M
K = 2($3,150)
K = $6,300
Let's see if this is correct:
K + M + L = $12,500
$3,050 + $3,150 + $6,300 = $12,500