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Hannah and francine have \$120. Hannah and peter have \$230. Peter has 6 times as much money as francine. How much money does hannah have?

• math -

Francine has \$X.
Peter has \$6X.
Hannah hss \$Y.

Eq1: X + Y = 120.
Eq2: 6X + Y = 230.
Multiply Eq1 by -1 and add the Eqs:
-X + -Y = -120
6X + Y = 230
Sum: 5x = 110,

X = \$22.
X + Y = 120,
Y = 120 - X = 120 - 22 = \$98.

• math -

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