Question

At a Petrol Station regular unleaded gas is being sold for 3.49$agallonandpremiumgasfor$ $3.79$ a gallon. If a car wash is purchased, then a discount of 0.10$pergallonisapplied.Duringonemorning,atotalof$850$gallonsofgaswassold,and$100$gallonsweresoldatthediscountedrate.Thetotalamountcollectedinsaleswas$ $3,016.50$. Find the appropriate mathematical expressions which yield the number of regular unleaded gallons of gas, $u$, and the number of premium gallons of gas, $p$, that were sold during that morning?

• A. $u+p=850$
  $3.49u+3.79p=301.65$
• B. $u+p=850$
  $3.49u+3.79p=3016.50$
• C. $u+p=850$
  $3.49u+3.79p=3026.50$
• D. $u+p=3016.50$
  $3.49u+3.79p=850$

Answer 1

Answer: (C)

$u+p=850$

$3.49u+3.79p=3026.50$
Given that Petrol Station regular unleaded gas is being sold for 3.49$agallonandpremiumgasfor$ $3.79$ a gallon.

If a car wash is purchased, then a discount of 0.10$ per gallon is applied.

During one morning, a total of $850$ gallons of gas was sold and $100$ gallons were sold at the discounted rate.

The total amount collected in sales was 3,016.50.$

If the number of regular u and premium gas p was sold

Then,

$u+p=850$ ...(1)

Given, $100$ gallons were sold 0.10$ discount, then cost =$100\times$0.10=$10$

The cost of regular gas u gallon @ 3.49=3.49u$

And cost of premium gas p gallon @ 3.79=3.79p$

Then,

$3.49u+3.79p-10=3016.50$

$3.49u+3.79p=3016.50+10$

$3.49u+3.79p=3026.50$ ...(2)