If the line on the graph were extended, which coordinate pair would be on the line? Ending at 9, 10 axis

A. (15, 30)
B. (14, 15)
C. (14, 21)
D. (11, 33)

$44,970

Explanation:

1) Translate the statments to algebraic language

i) reward = unknwon = x

ii) Jenny got a sixth of the pot ⇒ (1/6)x

iii) Katherine a fifth ⇒ (1/5)x

iv) Katherine got $ 1,499 more than Jenny ⇒ (1/5)x = 1,499 + (1/6)x

2) Solve the equation:

i) start: (1/5)x = 1,499 + (1/6)x

ii) subtraction property: (1/5)x - (1/6)x = 1,499

iii) multiply by the least common denominator: 5×6 = 30

30x/5 - 30x/6 = 1,499×30

iv) do the operations: 6x - 5x = 44,970

v) combine like terms: x = 44,970

3) Verify the results:

(1/6)x = (1/6) ($44,970) = $ 7,495

(1/5)x = (1/5) ($44,970) = $ 8,994

$7,495 + $1,499 = $ 8,994

$ 8,994 = $ 8,994 ⇒ check