Question

You go to the market to buy fruit. The person in
front of you in line buy 2 limes and 1 apricot for
$0.70. You buy 2 limes and 3 apricots for $1.30.
Let x represent the price per lime. Let y
represent the price per apricot. Find the price
of each fruit.

Answer 1

Answer:

Apricots are $0.30 each and limes are $0.20 each

Step-by-step explanation:

2x + 1y = 0.70

(2x + 3y = 1.30)-1        Multiply by -1 to cancel out the 2x on both equations

2x + 1y = 0.70

-2x - 3y = -1.30           Add both equations

-2y = -0.6                   Divide both sides by -2

y = 0.3

Plug this into the first equation to solve for x

2x + 1(0.3) = 0.70        Multiply

2x + 0.3 = 0.70

     - 0.3 - 0.3              Subtract 0.3 from both sides

2x = 0.4                       Divide both sides by 2

x = 0.2