Ask Question
26 January, 02:20

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 will cost her a total of $13. How much does a pound of carrots cost?

+4
Answers (1)
  1. 26 January, 02:26
    0
    Potato price = $1.5 / pound; Carrot price = $1.75 / pound

    Step-by-step explanation:

    Let price of carrot per pound = c

    Let price of potatoes per pound = p

    Given:

    2c + 3p = 8 (eqtn A)

    4c + 4p = 13 (eqtn B)

    Multiplying eqtn A by 2;

    4c + 6p = 16

    4c = 16 - 6p (eqtn Y)

    By eqtn B;

    4c = 13 - 4p (eqtn Z)

    By eqtn Y & Z;

    16 - 6p = 13 - 4p

    16 - 13 = - 4p + 6p

    3 = 2p

    p = 3 / 2

    p = 1.5 [Potato price]

    Putting p value in eqtn A

    2c + 3 (1.5) = 8

    2c + 4.5 = 8

    2c = 8 - 4.5

    2c = 3.5

    c = 3.5 / 2

    c = 1.75 [Carrot Price]
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “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 ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers