Question

3. Mr. Richards' class is holding a canned food drive for charity. Juliet

collected 10 more cans than Rosana. Santiago collected twice as many
cans as Juliet. If they collected 130 cans altogether, how many cans did
Juliet collect? (Example 4)

Answer 1

Juliet collect 35 cans

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

`x+y+z=130` -----> equation A

`x=y+10` ---->
`y=x-10` ----> equation B

`z=2x` -----> equation C

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

`x+(x-10)+2x=130`

Combine like terms

`4x-10=130`

Adds 10 both sides

`4x=130+10`

`4x=140`

Divide by 4 both sides

`x=35\ cans`

therefore

Juliet collect 35 cans