Thank you Reiny.
I really appreciate the help but I am not really understanding the the exprssions well enough to explain the answer. Also at first I was thinking that the answer has nothing to do with actual money but only how much inventory or merchanise that Anna has to choose from. Please try to help me understand. Thank you.
Annna wants to buy her grandmother a gift. Anna decides to buy a piece of jewelry. At the store she sees that 1/2 of the jewelry is necklaces. 1/4 of the jewelry is pins. The rest of the jewelry is a total of 16 bracelets and rings. There are 3 times as many bracelets as rings. How many of each piece of jewelry does the store have for Anna to decide what to buy for her grandmother? If necklaces average $25, pins average $12, bracelsts average $8 and rings average $30,about how much inventory is in this jewelry store?
please explain steps along with answers
THANK YOU
HELP MATH - Gabrielle, Sunday, November 15, 2009 at 8:12pm
If you tell me what you've figured out on your own, I'll be happy to walk you through the rest of it! Here is what I did:
First I multied to find out how many braclets there were 16 X 3 = 48 bracelets 48 X $8 = 384
Then I converted 1/2 to 50 Next I converted 1/4 to 25. After that I added the cost of everthing individually.Finally I added the cost of everthing together.
My answer: 48 bracelets, 16 rings, 50 necklaces, and 25 pins. Inventory is
6,734.00
HELP MATH - Reiny, Sunday, November 15, 2009 at 10:30pm
Let's look at this part:
" The rest of the jewelry is a total of 16 bracelets and rings. There are 3 times as many bracelets as rings "
let the number of rings be x
then the number of bracelets is 3x
3x + x = 16
4x = 16
x = 4
So we know there are 4 rings and 12 bracelets.
Now let the total number of jewelry be y
" At the store she sees that 1/2 of the jewelry is necklaces. 1/4 of the jewelry is pins. The rest of the jewelry is a total of 16 bracelets and rings "
y/2 + y/4 + 16 = y
multiply by 4
2y + y + 64 = 4y
y = 64
total number of jewelry is 64
Necklaces = y/2 = 32
Pins = y/4 = 16
bracelets = 12
rings = 4
inventory = $25(32) + $12(16) + $8(12) + $30(4) = $1208
What grade level are you working at?
Do you know how to solve simple equations?
I merely took the English sentences and translated them into "math"
I even preceded my mathematical equation with the English sentence that allowed me to form that equation.
I really don't know how to explain it in more simple steps.
To solve this problem, we need to break it down step by step:
Step 1: Finding the number of bracelets and rings
We are told that the rest of the jewelry is a total of 16 bracelets and rings, and that there are 3 times as many bracelets as rings.
Let's assume the number of rings is x. Then the number of bracelets would be 3x.
So we have the equation 3x + x = 16.
Combine like terms: 4x = 16.
Divide both sides by 4 to solve for x: x = 4.
Therefore, there are 4 rings and 3(4) = 12 bracelets.
Step 2: Find the total number of jewelry
We are also told that half of the jewelry is necklaces and one-fourth is pins. The rest is the combination of bracelets and rings. We need to find the total number of jewelry.
Let's assume the total number of jewelry is y.
The equation would be y/2 + y/4 + 16 = y.
Multiply the equation by 4 to get rid of the fraction: 2y + y + 64 = 4y.
Combine like terms: 3y + 64 = 4y.
Subtract 3y from both sides: 64 = y.
Therefore, the total number of jewelry is 64.
Step 3: Find the number of necklaces and pins
Now that we know the total number of jewelry is 64, we can find the number of necklaces and pins.
Necklaces = y/2 = 64/2 = 32.
Pins = y/4 = 64/4 = 16.
Step 4: Calculate the inventory value
We are given the average prices of each type of jewelry. We can now calculate the inventory value by multiplying the quantity of each piece of jewelry by its average price and summing them up.
Inventory = ($25 x 32) + ($12 x 16) + ($8 x 12) + ($30 x 4) = $800 + $192 + $96 + $120 = $1208.
So, the jewelry store has 32 necklaces, 16 pins, 12 bracelets, and 4 rings, with a total inventory value of $1208.