Question

Ciara Larry and jeeta pick apples at an orchard Ciara pick twice as many pounds is Larry and three times as many pounds as jeeta the total weight of the apples they pick was 8360 pounds how many pounds of the apples did each person pick

Answer 1

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

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

`x+y+z=8,360` ----> equation A

`x=2y`

`y=x/2` ----> equation B

`x=3z`

`z=x/3` ----> equation C

substitute equation B and equation C in equation A and solve for x

`x+x/2+x/3=8,360`

Multiply by 6 both sides to remove the fractions

`6x+3x+2x=50,160`

`11x=50,160`

`x=4,560\ lb`

Find the value of y

`y=x/2` ---->
`y=4,560/2=2,280/ lb`

Find the value of z

`z=x/3` --->
`z=4,560/3=1,520\ lb`

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