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Runner16
1. In one week a music store sold 9 guitars for a total of $3611. Electric guitars sold for $479 each and acoustic guitars sold for $339 each. How many of each type of guitar were sold??
2. A nut wholesaler sells a mix of peanuts and cashews. The wholesaler charges $2.80 per pound for peanuts and $5.30 per pound of cashews. The mix is to sell for $3.30 per pound. How many pounds of peanuts and how many pounds of cashews should be used to make 100 pounds of the mix??
Thank you very much!! The first answer to get it right and solve by each step gets BEST ANSWER!!!
Answer
1. In one week a music store sold 9 guitars for a total of $3611. Electric guitars sold for $479 each and acoustic guitars sold for $339 each. How many of each type of guitar were sold??
HINT: Write what you know in a table.
Type â¦â¦......â¦â¦. Qty â¦â¦. Worth â¦â¦. Total
electric guitars â¦... e â¦â¦â¦. 479 â¦â¦.... e * 479 = 479e
acoustic guitars â¦. a â¦â¦â¦. 339 â¦â¦â¦ a * 339 = 339a
Total â¦â¦â¦â¦........ 9 â¦â¦..... ----- â¦â¦â¦ 3611
The first 2 rows of the first column always add up to the third row in that column.
e + a = 9
The first 2 rows of the last column always add up to the third row in that column.
479e + 339a = 3611
You now have 2 equations.
479e + 339a = 3611
e + a = 9
Solve the 2nd one for e.
e + a = 9
e = 9 - a
Replace e with 9 - a in the 1st one.
479e + 339a = 3611
479(9 - a) + 339a = 3611
4311 - 479a + 339a = 3611
-140a = -700
a = 5
Plug this solved a value into e = 9 - a to solve for e.
e = 9 - a
e = 9 - 5
e = 4
ANSWER: There were 5 acoustic guitars and 4 electric guitars sold.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
2. A nut wholesaler sells a mix of peanuts and cashews. The wholesaler charges $2.80 per pound for peanuts and $5.30 per pound of cashews. The mix is to sell for $3.30 per pound. How many pounds of peanuts and how many pounds of cashews should be used to make 100 pounds of the mix??
HINT: Write what you know in a table.
Type â¦â¦â¦â¦. Qty â¦â¦.. Cost/lb â¦â¦.. Total
peanuts â¦â¦â¦. p â¦â¦â¦. 2.8 â¦â¦â¦â¦. p * 2.8 = 2.8p
cashews â¦â¦... c â¦â¦â¦.. 5.3 â¦â¦â¦â¦. c * 5.3 = 5.3c
Total â¦â¦â¦â¦.. 100 â¦.⦠3.3 â¦â¦â¦â¦ (p + c) * 3.3 = 3.3(p + c)
The first 2 rows of the first column always add up to the third row in that column.
p + c = 100
The first 2 rows of the last column always add up to the third row in that column.
2.8p + 5.3c = 3.3(p + c)
Replace (p + c) with 100 and simplify.
2.8p + 5.3c = 3.3(p + c)
2.8p + 5.3c = 3.3(100)
2.8p + 5.3c = 330
You now have 2 equations.
2.8p + 5.3c = 330
p + c = 100
Solve the 2nd one for y.
p + c = 100
c = 100 - p
Replace y with 100 - p in the 1st one.
2.8p + 5.3c = 330
2.8p + 5.3(100 - p) = 330
2.8p + 530 - 5.3p = 330
2.8p - 5.3p = 330 - 530
-2.5p = -200
p = -200 / -2.5
p = 80
Substitute p with 80 in c = 100 - p to find c.
c = 100 - p
c = 100 - 80
c = 20
You need 80 pounds of the peanuts and 20 pounds of the cashews to make a 100-pound mixture worth $3.30 per pound.
1. In one week a music store sold 9 guitars for a total of $3611. Electric guitars sold for $479 each and acoustic guitars sold for $339 each. How many of each type of guitar were sold??
HINT: Write what you know in a table.
Type â¦â¦......â¦â¦. Qty â¦â¦. Worth â¦â¦. Total
electric guitars â¦... e â¦â¦â¦. 479 â¦â¦.... e * 479 = 479e
acoustic guitars â¦. a â¦â¦â¦. 339 â¦â¦â¦ a * 339 = 339a
Total â¦â¦â¦â¦........ 9 â¦â¦..... ----- â¦â¦â¦ 3611
The first 2 rows of the first column always add up to the third row in that column.
e + a = 9
The first 2 rows of the last column always add up to the third row in that column.
479e + 339a = 3611
You now have 2 equations.
479e + 339a = 3611
e + a = 9
Solve the 2nd one for e.
e + a = 9
e = 9 - a
Replace e with 9 - a in the 1st one.
479e + 339a = 3611
479(9 - a) + 339a = 3611
4311 - 479a + 339a = 3611
-140a = -700
a = 5
Plug this solved a value into e = 9 - a to solve for e.
e = 9 - a
e = 9 - 5
e = 4
ANSWER: There were 5 acoustic guitars and 4 electric guitars sold.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
2. A nut wholesaler sells a mix of peanuts and cashews. The wholesaler charges $2.80 per pound for peanuts and $5.30 per pound of cashews. The mix is to sell for $3.30 per pound. How many pounds of peanuts and how many pounds of cashews should be used to make 100 pounds of the mix??
HINT: Write what you know in a table.
Type â¦â¦â¦â¦. Qty â¦â¦.. Cost/lb â¦â¦.. Total
peanuts â¦â¦â¦. p â¦â¦â¦. 2.8 â¦â¦â¦â¦. p * 2.8 = 2.8p
cashews â¦â¦... c â¦â¦â¦.. 5.3 â¦â¦â¦â¦. c * 5.3 = 5.3c
Total â¦â¦â¦â¦.. 100 â¦.⦠3.3 â¦â¦â¦â¦ (p + c) * 3.3 = 3.3(p + c)
The first 2 rows of the first column always add up to the third row in that column.
p + c = 100
The first 2 rows of the last column always add up to the third row in that column.
2.8p + 5.3c = 3.3(p + c)
Replace (p + c) with 100 and simplify.
2.8p + 5.3c = 3.3(p + c)
2.8p + 5.3c = 3.3(100)
2.8p + 5.3c = 330
You now have 2 equations.
2.8p + 5.3c = 330
p + c = 100
Solve the 2nd one for y.
p + c = 100
c = 100 - p
Replace y with 100 - p in the 1st one.
2.8p + 5.3c = 330
2.8p + 5.3(100 - p) = 330
2.8p + 530 - 5.3p = 330
2.8p - 5.3p = 330 - 530
-2.5p = -200
p = -200 / -2.5
p = 80
Substitute p with 80 in c = 100 - p to find c.
c = 100 - p
c = 100 - 80
c = 20
You need 80 pounds of the peanuts and 20 pounds of the cashews to make a 100-pound mixture worth $3.30 per pound.
Alesis DM8... Good drum kit?
Psycho Bea
I am a 14 year old drummer. I am not a beginner at drums but im not a pro either. I have been looking for a drum kit and as i live with my parents I am not aloud an acoustic set. So I was looking around for a good drum kit to buy for no more than around 700 pounds. I came across the Alesis DM8 PRO kit and I thought it looked pretty good, but i would like to see if i am making the right decision. If you think I am not then please offer me an alternative. Thank you.
Answer
I'd say your best bet is to take a trip to Guitar Center or another dealer and try it out for yourself. I really like it, I have a friend who owns on and I think it sounds pretty damn good. However.. I'm not really a drummer, so I don't know how it will feel to an actual drummer, but I have a good time playing around on it. I do have a decent ear and so I can say it does sound great, no doubt about that. I just don't know how actual drummers feel about it. But go try one out, they don't care, play on it for a while and see what you think.
I'd say your best bet is to take a trip to Guitar Center or another dealer and try it out for yourself. I really like it, I have a friend who owns on and I think it sounds pretty damn good. However.. I'm not really a drummer, so I don't know how it will feel to an actual drummer, but I have a good time playing around on it. I do have a decent ear and so I can say it does sound great, no doubt about that. I just don't know how actual drummers feel about it. But go try one out, they don't care, play on it for a while and see what you think.
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