Hannah is at the supermarket to buy carrots and potatoes. If she buys 2 pounds of carrots and 3 pounds of potatoes, it will cost her a total of $8, and if she buys 4 pounds of carrots and 4 pounds of potatoes, it Hill cost her a total of $13. Which of these statements is correct? Carrots cost $1.50 a pound, which is less than potatoes cost. Carrots cost $1.50 a pound, which is more than potatoes cost. Carrots cost $1.75 a pound, which is less than potatoes cost. Carrots cost $ 1.75 a pound, which is more than potatoes cost

Answer:Carrots cost $ 1.75 a pound which is more than potatoes cost.Step-by-step explanation:Let, Carrots cost $ x per pound and potatoes cost $ y per pound.Buying 2 pounds of carrots  and 3 pounds of potatoes will cost her$ [tex](2\times x + 3\times y)[/tex] andBuying 4 pounds of carrots and 4 pounds of potatoes will cost her$ [tex](4\times x + 4\times y)[/tex] According to the question, [tex](2\times x + 3\times y) = 8[/tex]-----(1) [tex](4\times x + 4\times y) = 13[/tex]-----(2)multiplying (1) by 2 we get,[tex](4\times x + 6\times y) = 16[/tex]-----(3)Deducting (2) from (3) we get,[tex]2\times y = 3 [/tex]⇒ [tex] y = \frac{3}{2} = 1.5[/tex]------------------(4)Putting value of y in (1) we get,[tex](2\times x = 8 - 3\times 1.5) = 3.5 [/tex]⇒  [tex] x =\frac{3.5}{2} = 1.75[/tex] ------------(5)