SOLUTION: Birdseed costs ​$0.62 a pound and sunflower seeds cost ​$0.92 a pound. Angela​ Leinenbachs' pet store wishes to make a 50​-pound mixture of birdseed and sunflower seeds tha

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Question 1156880: Birdseed costs ​$0.62 a pound and sunflower seeds cost ​$0.92 a pound. Angela​ Leinenbachs' pet store wishes to make a 50​-pound mixture of birdseed and sunflower seeds that sells for ​$0.85 per a pound. How many pounds of each type of seed should she​ use?
Found 2 solutions by ikleyn, josmiceli:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let x = pounds of birdseed;  then the pounds of sunflowers is (50-x).


The money equation is

    0.62x + 0.92*(50-x) = 0.85*50.


From the equation, express x and calculate

    x = %280.85%2A50+-+0.92%2A50%29%2F%280.62-0.92%29 = 11.667 pounds of birdseed.


ANSWER.  11.667 pounds of birdseed and the rest, (50-11.667) = 38.333 pounds of sunflower.

Solved.


Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = pounds of $0.62/lb seed needed
Let +b+ = pounds of $0.92/lb seed needed
---------------------------------------------------
(1) +a+%2B+b+=+50+
(2) +%28+.62a+%2B+.92b+%29+%2F+50+=+.85+
-------------------------------------------
(2) +.62a+%2B+.92b+=+.85%2A50+
(2) +.62a+%2B+.92b+=+42.5+
(2) +62a+%2B+92b+=+4250+
(2) +31a+%2B+46b+=+2125+
Multiply both sides of (1) by +31+
and subtract (1) from (2)
(2) +31a+%2B+46b+=+2125+
(1) +-31a+-+31b+=+-1550+
-------------------------------
+15b+=+575+
+b+=+38.333+
and
(1) +a+%2B+b+=+50+
(1) +a+%2B+38.333+=+50+
(1) +a+=+11.667+
--------------------------------
11.667 pounds of $0.62/lb seed are needed
38.333 pounds of $0.92/lb seed are needed
---------------------------------------------------
check:
(2) +%28+.62a+%2B+.92b+%29+%2F+50+=+.85+
(2) +%28+.62%2A11.667+%2B+.92%2A38.333+%29+%2F+50+=+.85+
(2) +%28+7.2333+%2B+35.2667+%29+%2F+50+=+.85+
(2) +42.5+%2F+50+=+.85+
(2) +42.5+=+42.5+
OK
check the math & get a 2nd opinion if needed