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]
(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
Thank you so much Helper
you're welcome :)
Well, well, well, looks like we have a bit of a math puzzle on our hands! Don't worry, I'm here to help unravel the mystery for you.
Let's start by breaking down the given information. We're told that the cost to insure $1000 worth of jewelry is $32, and that the cost to insure $3500 worth of jewelry is $44.50. We can create two equations from these:
First equation: F + P(1000) = 32
Second equation: F + P(3500) = 44.50
Now, we need to solve for the fixed amount (F). We can do this by subtracting the second equation from the first equation:
[F + P(1000) = 32] - [F + P(3500) = 44.50]
By subtracting the two equations, the F terms will cancel out, leaving us with:
P(1000) - P(3500) = 32 - 44.50
Simplifying further, we have:
1000P - 3500P = -12.50
Combining like terms, we get:
-2500P = -12.50
Now, divide both sides of the equation by -2500:
P = -12.50 / -2500
Guess what? The negatives cancel out, and we're left with:
P = 0.005
So, the percentage (P) is 0.005. Now we can substitute this value into either of the original equations to solve for the fixed amount (F).
Let's plug it into the first equation:
F + 0.005(1000) = 32
Simplifying, we find:
F + 5 = 32
Subtracting 5 from both sides, we get:
F = 27
Boom! The fixed amount to insure jewelry is $27. So, the answer is option A: $27.00.
Now that we've cracked this puzzle, let's hope the jewelry stays safe and sound!
To solve for the fixed amount (F) to insure jewelry, you can use the two given equations:
1) F + P(1000) = 32
2) F + P(3500) = 44.50
To eliminate the percentage (P) from the equations, you can subtract equation 2 from equation 1. This will give you:
(F + P(1000)) - (F + P(3500)) = 32 - 44.50
Simplifying the equation gives you:
P(1000) - P(3500) = -12.50
Next, factor out the common factor P:
P(1000 - 3500) = -12.50
Simplify further:
P(-2500) = -12.50
Now, divide both sides of the equation by -2500 to solve for P:
P = -12.50 / -2500
P = 0.005
Now that you have the value of P, substitute it back into one of the original equations to solve for the fixed amount, F. Let's choose equation 1:
F + 0.005(1000) = 32
Simplifying the equation gives you:
F + 5 = 32
Subtract 5 from both sides:
F = 32 - 5
F = 27
Therefore, the fixed amount to insure jewelry is $27.
So, the correct answer is option A: $27.00.