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3. Unleaded gas and supreme gas sell for different prices per liter. Suppose that 2 liters of unleaded and 3
liters of supreme cost a total of $2.52. Five liters of unleaded and 4 liters of supreme cost a total of $4.48. If
Ted filled his pickup with 30 liters of unleaded and also filled his car with 25 liters of supreme, how much
would he have to pay? Assume prices have not changed.

Answer :

Answer:

Step-by-step explanation:

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Ted would pay $26.50 for 30 liters of unleaded and 25 liters of supreme gas.

Let x represent the price of unleaded gas and y represent the price of supreme gas.

2 liters of unleaded and 3  liters of supreme cost a total of $2.52. Hence:

2x + 3y = 2.52    (1)

Five liters of unleaded and 4 liters of supreme cost a total of $4.48. Hence:

5x + 4y = 4.48    (2)

Solving equations 1 and 2 simultaneously gives:

x = 0.48, y = 0.52

For 30 liters of unleaded and also filled his car with 25 liters of supreme:

Cost = 30(0.48) + 0.52(25) = $26.5

Ted would pay $26.50 for 30 liters of unleaded and 25 liters of supreme gas.

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