Question

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]

Answer 1

(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

Answer 2

Thank you so much Helper

Answer 3

you're welcome :)