Terry finds a pile of money with at least $500. if she puts $1p0 of the pile in her left pocket, gives away 2/3 of the rest of the pile, and then puts the remaining money from the pile in her right pocket, she’ll have more money than if instead gave away $500 of the original pile and kept the rest. what are the possible values of the original pile of money? plz !

30

step-by-step explanation:

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i hope i

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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