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Marcia has 84 less than three times as much as Sue together they have 132 how much money does Marcia have?
Wiki User
∙ 14y ago
Sue has Z.
Marcia has (3Z - 84), three times as much as Sue, minus 84.
Together their amounts equal 132.
So,
The amount Sue has plus the amount Marcia has is 132 or,
Z + (3Z - 84) = 132
Then,
Z + 3Z = 132 + 84 (minus 84 from one side of the expression, and add it to the other side)
Z + 3Z = 216
(Z + 3Z)/Z = 216/Z (divide both sides by Z to get one Z on one side)
Z/Z + 3Z/Z = 216/Z (or written like this)
1 + 3 = 216/Z
4 = 216/Z
4 x Z = (216/Z) x Z (multiply both sides by Z)
4Z = 216
4Z/4 = 216/4 (divide by 4 to isolate Z)
Z = 54
So, Sue has 54, therefore if Marcia has (3Z - 84), then 3 x 54 - 84, which is 78.
So, Marcia has 78
We can check that together, 54 plus 78 equals 132.
Wiki User
∙ 14y ago
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