Question

ray bought 5 lemons and 3 limes for $7.20. Lia bought 4 lemons and 6 limes for the same price. How much would it cost to buy 1 lemon and 1 lime?

Answer 1

5x+3y=7.2--->-2(5x+3y)=7.2*-2--->-10x-6y=-14.4
4x+6y=7.2--->4x+6y=7.2------------>4x+6y=7.2

-6x=-7.2---->x=7.2/6 or 1.27
4(1.27)+6y=7.2---->5.08+6y=7.2----> 6y=2.12
y=.35
x=lemons y=limes

Answer 2

Answer: The cost of 1 lemon is $1.2 and the cost of 1 lime is $0.4.

Explanation:

Let x be the cost of 1 lemon and y be the cost of 1 lime.

Then for Ray, the equation representing total price will be :-

`5x+3y=7.20`................................(1)

For Lia, the equation representing total price will be :-

`4x+6y=7.20`..................................(2)

Dividing 2 on the both sides of equation (2), we get

`2x+3y=3.60`...............................(3)

Subtracting (3) from (1), we get

`3x=3.6\\\\\Rightarrow x=1.2`

Substitute value of x in (3), we get

`2(1.2)+3y=3.6\\\\\Rightarrow2.4+3y=3.6\\\\\Rightarrow3y=1.2\\\\\Rightarrow y=0.4`

Thus, the cost of 1 lemon is $1.2 and the cost of 1 lime is $0.4.