Answer:
3000 gallons of gasoline and 2000 gallons of kerosene
Step-by-step explanation:
The first thing is that 16 ¢ and 15 ¢ are 16 and 15 cents, therefore we can express it as $ 0.16 and $ 0.15 respectively.
Now, we can solve by means of a 2x2 system of equations, we have to:
"x" is the number of gallons of gasoline
"y" be the number of gallons of kerosene
x + y = 5000 => x = 5000 - y
0.16 * x + 0.15 * y = 780
replacing
0.16 * (5000 - y) + 0.15 * y = 780
800 - 0.16 * y + 0.15 * y = 780
-0.01 * y = 780 - 800
y = -20 / -0.01
y = 2000
Therefore x:
x = 5000 - 2000
x = 3000
which means 3000 gallons of gasoline and 2000 gallons of kerosene
