Answer:
The cost of one lime is $0.65
Step-by-step explanation:
Let
x ---> the cost of one lemon
y ---> the cost of one lime
we know that
Mickey
[tex]5x+3y=3.70[/tex] ----> equation A
Minnie
[tex]15x+4y=7.85[/tex] ---> equation B
Solve the system by elimination
Multiply by -3 both sides equation A
[tex]-3(5x+3y)=-3(3.70)[/tex]
[tex]-15x-9y=-11.10[/tex] ----> equation C
Adds equation C and equation B
[tex]-15x-9y=-11.10\\15x+4y=7.85\\--------\\-9y+4y=-11.10+7.85\\-5y=-3.25\\y=0.65[/tex]
therefore
The cost of one lime is $0.65