Question

A lemon and a lime cost $0.61 a lime and kiwi fruit cost $0.54 a kiwi fruit and a lemon cost $0.69 what does each fruit cost

Answer 1

x=lemon cost
y=lime cost
z=kiwi cost

x+y=0.61
y+z=0.54
x+z=0.69
interesting

we can take any 2 equatinos
I pick the top 2
x+y=0.61 and
y+z=0.54
minus x from both sides for first and minus z from both sides for 2nd

y=0.61-x and
y=0.54-z
set equal
0.61-x=0.54-z
add x+z to both sides
0.61+z=0.54+x
minus 0.54 from both sides
0.07+z=x


remember 3rd equation
x+z=0.69

now sub 0.07+z for x
0.07+z+z=0.69
0.07+2z=0.69
minus 0.07 from both sides
2z=0.62
divide both sides by 2
z=0.31

sub back
0.07+z=x
0.07+0.31=x
0.38=x

sub way back

y=0.61-x
y=0.61-0.38
y=0.23



lemon=$0.38
lime=$0.23
kiwi=$0.31

Answer 2

The lime costs $0.31, the kiwi fruit costs $0.23, and the lemon costs $0.38. I'm pretty sure.