Answer with explanation:
Let cost of one quart of oil =$ x
Cost of one gallon of gas = $ y
It is given that
→ Four quarts of oil and 40 gallons of gas cost $126.80.
4 x +40 y=126.80-------(1)×3
→Six quarts of oil ,and 52 gallons of gas cost $166.28
6 x +52 y =166.28-------(2)×2
:12 x +120 y=380.40--------(1)
:12 x +104 y= 332.56--------(2)
Equation(1) - Equation(2)
16 y= 47.84
Dividing both sides by , 16 we get
y=2.99
Putting the value of , y in equation (1)
→4x + 40 × 2.99=126.80
→4 x+119.6=126.80
→ 4 x=126.80- 119.6
→ 4x= 7.20
Dividing both sides by 4, we get
→x =1.8
Cost of a quart of oil=$ 1.8
Cost of a gallon of gas= $ 2.99
