Four petrol pumps are shown, each with the amount of petrol purchased and its cost - HSC - SSCE Mathematics Standard - Question 7 - 2023 - Paper 1
Question 7
Four petrol pumps are shown, each with the amount of petrol purchased and its cost.
Which one represents the best value?
A. 24 L: $46.70
B. 25 L: $48.50
Worked Solution & Example Answer:Four petrol pumps are shown, each with the amount of petrol purchased and its cost - HSC - SSCE Mathematics Standard - Question 7 - 2023 - Paper 1
Step 1
Calculate price per liter for A
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Answer
To find the price per liter for option A, divide the total cost by the amount purchased:
ext{Price per liter for A} = rac{46.70}{24} ext{ L} \\
= 1.95 ext{ per liter}
Step 2
Calculate price per liter for B
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Answer
Similarly, for option B, calculate the price per liter:
ext{Price per liter for B} = rac{48.50}{25} ext{ L} \\
= 1.94 ext{ per liter}
Step 3
Compare the values
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Answer
Now, compare the price per liter of both options:
Option A: $1.95 per liter
Option B: $1.94 per liter
Since 1.94<1.95, option B (25 L for $48.50) represents the better value.
