Question
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?
Answers
Henry
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.
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.