SOLUTION: Stan Wellback wants to make 5 gallons of 55% gas, 45% oil mixture of fuel for his dirt bike. he has two containers, container A is 95% gasoline, 5%oil and container B is 10% gas, 9

Question 560098: Stan Wellback wants to make 5 gallons of 55% gas, 45% oil mixture of fuel for his dirt bike. he has two containers, container A is 95% gasoline, 5%oil and container B is 10% gas, 90% oil. How many gallons (to the nearest tenth) does he need from each container to make his new mixture?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = gallons of mixture needed from container A
Let = gallons of mixture needed from container B
= gallons of gas in container A
= gallons of gas in container B
-----------------------
(1)
(2)
--------------------------
(2)
(2)
---------------------
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
(1)
He needs 2.6 gallons from container A
and 2.4 gallons from container B
--------
check answer:
(2)
(2)
(2)
(2)
(2)
OK

RELATED QUESTIONS
A mechanic has 340 gallons of gasoline and 10 gallons of oil to make gas/oil mixtures. He (answered by josmiceli)

A mechanic has 343 gallons of gasoline and 18 gallons of oil to make gas/oil mixtures. He (answered by ankor@dixie-net.com)

A mechanic has 354 gallons of gasoline and 19 gallons of oil to make gas/oil mixtures.... (answered by jaypeeilagan13@yahoo.com)

A mechanic has 352 gallons of gasoline and 15 gallons of oil to make gas/oil mixtures.... (answered by jsmallt9)

Could someone please help me with this mixture problem? I have been pouring over it for... (answered by edjones)

The fuel for a certain two cycle engine is a mixture of 8 parts gasoline and 2 parts oil. (answered by Paul,rapaljer)

A mechanic has 341 gallons of gasoline and 18 gallons of oil to make gas/oil mixtures. He (answered by ankor@dixie-net.com)

REPOST: Oil and gas. An outboard motor calls for a fuel mixture that has a gas-to-oil... (answered by stanbon)

have 3 gallons of fuel mixture that is 95% gas and 5% oil. How many gallons of gas should (answered by josgarithmetic)