Answer:
The pounds of apples picked by Ciara was 4,560
The pounds of apples picked by Larry was 2,280
The pounds of apples picked by Jeeta was 1,520
Step-by-step explanation:
Let
x -----> pounds of apples picked by Ciara
y ----> pounds of apples picked by Larry
z ----> pounds of apples picked by Jeeta
we know that
[tex]x+y+z=8,360[/tex] ----> equation A
[tex]x=2y[/tex]
[tex]y=x/2[/tex] ----> equation B
[tex]x=3z[/tex]
[tex]z=x/3[/tex] ----> equation C
substitute equation B and equation C in equation A and solve for x
[tex]x+x/2+x/3=8,360[/tex]
Multiply by 6 both sides to remove the fractions
[tex]6x+3x+2x=50,160[/tex]
[tex]11x=50,160[/tex]
[tex]x=4,560\ lb[/tex]
Find the value of y
[tex]y=x/2[/tex] ----> [tex]y=4,560/2=2,280/ lb[/tex]
Find the value of z
[tex]z=x/3[/tex] ---> [tex]z=4,560/3=1,520\ lb[/tex]
therefore
The pounds of apples picked by Ciara was 4,560
The pounds of apples picked by Larry was 2,280
The pounds of apples picked by Jeeta was 1,520