How much per pound did the 50 pounds of seed cost?

Question

This is the complete question:

A pet store owner mixed two different bird seeds. She mixed 20 pounds of a seed that costs $2.25 per pound with 50 pounds of another seed. If the mixture of seeds cost $2.75 per pound, how much per pound did the 50 pounds of seed cost?

Answer 1

let x=cost per pound of the 50 pounds of seed

20($2.25)+50(x)=70($2.75)

$45+50x=$192.50

50x=$147.50

x=$147.50/50

x=$2.95 per pound

check: 20(2.25)+50(2.95)=70(2.75)

           45+147.50=192.50

               $192.50=$192.50

 

Answer 2

Information given:

 

20 pounds of seed A costing $2.25/pound

50 pounds of seed B costing $x/pound

 

70 pounds of mixture costs $2.75/pound

 

We want to find out how much seed B costs by itself.  One way to do this is to figure out the total cost of the mixture of seed as well as the total cost of seed A.  To do this, we multiply the number of pounds by the cost per pound.

 

Total cost of 70 pounds = 70*$2.75 = $192.50

Cost of 20 pounds of A = 20*$2.25 = $45

If we subtract these numbers, we figure out the total cost of 50 pounds of seed B.

Total cost - seed A cost = seed B cost of 50 pounds

$192.50 - $45 = $147.50 for 50 pounds of seed B

 

To find the cost per pound, we simply divide the total cost of B seeds by the number of pounds (50).

 

$147.50 / 50 pounds = $2.95/pound

 

Does that make sense?  Let me know if you have any further questions!

Answer 3

 

Hello again E -- mix ratio is 5:2 ... meaning we're 5/7 thru the "spread" in costs ...

 

since the "5" part is 50 cents, the entire "7" spread is 70 cents ... add to $2.25 ...

 

==> 50lb mix is $2.95/lb ... Best regards :)