SOLUTION: Translate the following situation into an inequality. Do not solve "Janice and Leonard together would like to save more than $3,500. They have saved $425 saved so far. Janice can

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Translate the following situation into an inequality. Do not solve "Janice and Leonard together would like to save more than $3,500. They have saved $425 saved so far. Janice can       Log On


   



Question 486125: Translate the following situation into an inequality. Do not solve
"Janice and Leonard together would like to save more than $3,500. They have saved $425 saved so far. Janice can save $120 more than twice what Leonard can save each month. How much money will they each need to save to reach their goal?"

Found 2 solutions by chessace, MathTherapy:
Answer by chessace(471) About Me  (Show Source):
You can put this solution on YOUR website!
J = how much money Janice needs to save.
L = similar.
J + L = 3500 - 425
J > 120 + 2L (this is the algebraic translation from English)
J - 2L > 120 or even J -2L -120 > 0 are other ways of expressing this inequality.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Translate the following situation into an inequality. Do not solve
"Janice and Leonard together would like to save more than $3,500. They have saved $425 saved so far. Janice can save $120 more than twice what Leonard can save each month. How much money will they each need to save to reach their goal?"

Since they’ve already saved $425, they still need to save another $3,075 ($3,500 – 425)
Let amount that Leonard needs to save to reach goal be L
Then amount that Janice needs to save to reach goal = L + 2L + 120

With both saving to reach goal, we have: L + 2L + 120 > 3,075

Since Leonard’s amount to reach goal is L, then solving for L, we get:

3L + 120 = 3,075 ------- 3L = 2,955 -------- L = %283075+-+120%29%2F3. Leonard's highlight_green%28savings_%3E=%282955%29%2F3%29

Since Leonard's highlight_green%28savings_%3E=%282955%29%2F3%29, then Janice's highlight_green%28savings_%3E=2%282955%2F3%29+%2B+120%29

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