SOLUTION: Mr. Santana is 3 times his daughter Kara's age. Ten years ago, Mr. Santana was 7 times Kara's age.
Which system of equations could you solve to find Mr. Santana's current age? f =
Question 963834: Mr. Santana is 3 times his daughter Kara's age. Ten years ago, Mr. Santana was 7 times Kara's age.
Which system of equations could you solve to find Mr. Santana's current age? f = father's age and d = daughter's age
A) 3f = d ; f - 10 = 7d - 10
B) f = 3d ; f + 10 = 7(d + 10)
C) f = d/3 ; f + 10 = 7d - 10
D) f = 3d ; f - 10 = 7(d - 10) Found 2 solutions by fcabanski, addingup:Answer by fcabanski(1391) (Show Source): You can put this solution on YOUR website! Father (f) is (=) 3 times the daughter's (3d) age. f=3d must be one of the equations. That eliminates A and C.
10 years ago means 10 must be subtracted from things. That eliminates B.
The correct answer is 10. Father's age 10 years ago is f-10 and daughter's age 10 years ago is d-10. He was 7 times her age so f-10=7(d-10).
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website! D is the correct answer.Explain. The problem says:
Father is 3 x daughter, f=3d (D)
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Next:
10 years ago f= 7d
This was 10 years ago. We deduct 10 from both sides because 10 years ago both f and d were 10 years younger:
f-10= 7(d-10) This is also D)