Question

Jevon has money. Angie has twice as much money as Jevon. Kenny Has five dollars more than Angie. How much more money does each of them have if the sum of their treasure is $80?

Answer 1

Jevon has = $15

Angie has = $30

Kenny has = $35

Explanation:

Given:

Angie has twice as much money as Jevon

Kenny has $5 more than Angie.

The sum of their treasure = $80

To find how much money does each of them have.

Solution:

Let Jevon has money in dollars =
`x`

Angie having twice as much money as Jevon would have in dollars =
`2x`

Kenny having $5 more than Angie would have in dollars =
`2x+5`

The sum of their money will be given as:

⇒
`x+2x+2x+5`

Combining like terms.

⇒
`5x+5`

The sum of their treasure = $80

So, the equation to find
`x` would be given as:

`5x+5=80`

Solving for
`x`

Subtracting both sides by 5.

`5x+5-5=80-5`

`5x=75`

Dividing both sides by 5.

`(5x)/(5)=(75)/(5)`

∴
`x=15`

Thus,

Jevon has = $15

Angie has =
`2* \$15` = $30

Kenny has =
`\$30+\$5` = $35