System of equations "application problem"

silverbeast

New member
Joined
Jan 17, 2013
Messages
3
Hi everyone!
This is my first post here at freemathhelp.

So here is the problem:
A grocer is making a snack mix containing Sunflower Seeds (costing $1 per pound) and Raisins (costing $2.70 per pound. In order to obtain 10 pounds of snack mix costing $1.50 per pound, how much of each ingredient should the grocer use?

My work so far:x = amt. of seeds in lbs
y = amt. of raisins in lbs.

x + y = 10
1.00x + 2.70y = 1.50

y = 10 - x

1.00x + 2.70(10 - x) = 1.50
1.00x + 27 - 2.70x = 1.50
-1.7x = -25.5
x = 15

15lb of seed in a 10lb mix? Lol i'm lost.
 
I may have figured it out... I HOPE.

Well since the grocer needs 10lbs. of snack mix, I multiplied $1.50 x 10 in my equation.

x + y = 10 (x = 10 - y)
1.00x + 2.70y = 1.50(10) <--- or would this just be bad arithmetic? LOL
10 - y + 2.7y = 15
10 + 1.7y = 15
1.7y = 5

y = 2.9

x = 10 - (2.9)

x= 7.1

7.1 + 2.9 = 10 :D LOL

Can someone please confirm? I am in a bit of a hurry :/.
 
Hi everyone!
This is my first post here at freemathhelp.

So here is the problem:
A grocer is making a snack mix containing Sunflower Seeds (costing $1 per pound) and Raisins (costing $2.70 per pound. In order to obtain 10 pounds of snack mix costing $1.50 per pound, how much of each ingredient should the grocer use?

My work so far:x = amt. of seeds in lbs
y = amt. of raisins in lbs.

x + y = 10
1.00x + 2.70y = 1.50

y = 10 - x

1.00x + 2.70(10 - x) = 1.50<-----the right-hand side should be an expression which represents the value of the final mixture. 10 pounds at $1.50 a pound would be worth 1.50(10) dollars.
1.00x + 27 - 2.70x = 1.50
-1.7x = -25.5
x = 15

15lb of seed in a 10lb mix? Lol i'm lost.

See my comment in red above.

Ok....your equation should be

1.00x + 2.70(10 - x) = 1.50(10)

Can you take it from here (and get a more reasonable answer)? I did not get a "nice whole number".....you may need to round your answer.
 
See my comment in red above.

Ok....your equation should be

1.00x + 2.70(10 - x) = 1.50(10)

Can you take it from here (and get a more reasonable answer)? I did not get a "nice whole number".....you may need to round your answer.
Many thanks!! See my answer above... I beat you to it lol. Can you please check it?
 
Top