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 total of $8, and if she buys 4 pounds of carrots and 4 pounds of potatoes, it will cost her a total of $13. Which of these statements is correct?

Answer 1

Answer:

Carrots = x

Potatoes = y

So,

$2x + 3y = 8 \\ and \\ 4x + 4y = 13$

So,

$4x + 6y = 16 \\ and \\ 4x + 4y = 13$

$2y = 3 \\ y = \frac{3}{2} = 1.5$

And

$2x + 3 \times 1.5 = 8 \\ 2x = 8 - 7.5 \\ x = 0.5 \div 2 = 0.25$