MATH_ALGEBRA

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The price to cover ornaments is a fixed amount plus a percentage of the value of the ornaments.
It costs $32 to insure $1000 worth of jewellery or $44.50 to insure $3500 worth of jewellery.
What is the fixed amount to insure jewellery?

A. $27.00
B. $31.25
C. $44.65
D. $58.82

This is what I got told to you, but like y do u have to subtract, I get the first equation, I don't get the second, and It still has to be solved. I really don't understand, please help

F = fixed amount
P = percentage

F + P(1000) = 32
-[f + p(3500) = 44.50]

  • MATH_ALGEBRA -

    (1) F + 1000P = 32
    (2) F + 3500P = 44.50

    you have to solve these 2 equations simultaneously

    By elimination method, to eliminate F, multiply one of the equations by -1

    -1(F + 1000P = 32)= -F - 1000P = -32

    Now ADD these two equations together
    -F - 1000P = -32
    F + 3500P = 44.50
    0 + 2500P = 12.5
    2500P = 12.5
    P = .005

    substitute P = .005 in one of the equations to find F

    F + 1000P = 32
    F + 1000(.005) = 32
    F + 5 = 32
    F = 27

    What is the fixed amount to insure jewellery?

    A. $27

  • MATH_ALGEBRA -

    Thank you so much Helper

  • MATH_ALGEBRA -

    you're welcome :)

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