Question

Mickey buys 5 lemons and 3 limes for 3.70.Minnie buys 15 lemons and 4 limes for 7.85. How much does one lime cost?

Answer 1

The cost of one lime is $0.65

Explanation:

Let

x ---> the cost of one lemon

y ---> the cost of one lime

we know that

Mickey

`5x+3y=3.70` ----> equation A

Minnie

`15x+4y=7.85` ---> equation B

Solve the system by elimination

Multiply by -3 both sides equation A

`-3(5x+3y)=-3(3.70)`

`-15x-9y=-11.10` ----> equation C

Adds equation C and equation B

`-15x-9y=-11.10\\15x+4y=7.85\\--------\\-9y+4y=-11.10+7.85\\-5y=-3.25\\y=0.65`

therefore

The cost of one lime is $0.65