Answer:
Juliet collect 35 cans
Step-by-step explanation:
Let
x ------> number of cans collected by Juliet
y ------> number of cans collected by Rosana
z ------> number of cans collected by Santiago
we know that
[tex]x+y+z=130[/tex] -----> equation A
[tex]x=y+10[/tex] ----> [tex]y=x-10[/tex] ----> equation B
[tex]z=2x[/tex] -----> equation C
Substitute equation B and equation C in equation A and solve for x
[tex]x+(x-10)+2x=130[/tex]
Combine like terms
[tex]4x-10=130[/tex]
Adds 10 both sides
[tex]4x=130+10[/tex]
[tex]4x=140[/tex]
Divide by 4 both sides
[tex]x=35\ cans[/tex]
therefore
Juliet collect 35 cans