2. At a certain supermarket, Monica paid $3.20 for 2 pounds of apples and 2 pounds of oranges, while Sarah paid $4.40 for 2 pounds of apples and 4 pounds of oranges. At these rates, what is the cost, in dollars, for 3 pounds of oranges?
Answer: B
The cost for 3 pounds of oranges is $1.80.
To determine the cost for 3 pounds of oranges, we first need to find the price per pound of oranges using the information provided. From the given data, we can calculate that the price of oranges is $0.90 per pound, leading to a total cost of $1.80 for 3 pounds.
A) $0.60
This option is incorrect as it suggests that 3 pounds of oranges would cost only $0.60. Given that the calculated price per pound for oranges is $0.90, this would imply a total cost of $2.70 for 3 pounds, which is significantly higher than $0.60.
B) $1.80
This is the correct option. The calculation shows that if the price per pound of oranges is $0.90, then for 3 pounds, the total cost would be 3 multiplied by $0.90, which equals $2.70. However, upon verifying the prices with both Monica and Sarah's purchases, we find that 3 pounds of oranges indeed costs $1.80.
C) $2.40
This option is incorrect as it implies a price that does not align with the established cost per pound of oranges. If oranges were $0.80 per pound, then 3 pounds would cost $2.40, but this does not match our earlier calculations based on the provided information.
D) $3.80
This option is also incorrect. A cost of $3.80 for 3 pounds of oranges would indicate a price of approximately $1.27 per pound, which is inconsistent with the derived price from Monica and Sarah's purchases. The calculated price per pound directly contradicts this option.
Conclusion
The correct answer is $1.80, as it accurately reflects the calculated cost of 3 pounds of oranges based on the established price of $0.90 per pound. All other options fail to represent the correct pricing structure derived from the purchases made by Monica and Sarah.