Expensive Petrol

Algebra Level pending

The cost of petrol rises by 2 cents a liter. Last week a man bought 20 liters at the old price. This week he bought 10 liters at the new price. Altogether, the petrol costs $9.20. What was the old price of 1 liter ?

$0.30 / liter $0.20 / liter $0.25 / liter $0.35 / liter

Hosam Hajjir by Hosam Hajjir , 56, Canada

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1 solution

Zakir Husain
Mar 4, 2021

Let the old price be $ x / L \blue{\$x/L}

According to the question : 20 x + 10 ( x + 0.02 ) = 9.2 ⇒ 2 x + x + 0.02 = 0.92 ⇒ 3 x = 0.9 ⇒ x = 0.3 ⇒ o l d p r i c e = $ 0.3 / L \red{20x+10(x+0.02)=9.2}\Rightarrow \green{2x+x+0.02=0.92}\Rightarrow \blue{3x=0.9}\Rightarrow \red{x=0.3}\Rightarrow \green{old\space price = \$0.3/L}

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