SOLUTION: Hand sanitizer is sold in 50ml and 200ml bottles. A chemist received 15L of the sanitizer and received in total 105 bottles. Develop and solve simultaneous equations to determine h

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Hand sanitizer is sold in 50ml and 200ml bottles. A chemist received 15L of the sanitizer and received in total 105 bottles. Develop and solve simultaneous equations to determine h      Log On


   



Question 1143373: Hand sanitizer is sold in 50ml and 200ml bottles. A chemist received 15L of the sanitizer and received in total 105 bottles. Develop and solve simultaneous equations to determine how many of each size bottle the chemist received
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = number of 50 ml bottles
Let +b+ = number of 200 ml bottles
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(1) +a+%2B+b+=+105+
(2) +50a+%2B+200b+=+15000+ ( in mi )
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(1) +50a+%2B+50b+=+5250+
Subtract (1) from (2)
(2) +50a+%2B+200b+=+15000+
(1) +-50a+-+50b+=+-5250+
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+150b+=+9750+
+b+=+65+
and
(1) +a+%2B+65+=+105+
(1) +a+=+40+
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He got 40 of the 50 ml bottles
He got 65 of the 200 ml bottles
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check:
(2) +50a+%2B+200b+=+15000+
(2) +50%2A40+%2B+200%2A65+=+15000+
(2) +2000+%2B+13000+=+15000+
(2) +15000+=+15000+
OK