Question

Hector, Sam, Ted, and Gina are comparing their savings. Hector saved twice as much money as Sam. Ted saved $100 more than Hector. Gina saved $50 less than Ted. Let x represent the amount of money Sam has in savings. Which algebraic expression represents the amount of money Gina has?

Answer 1

`2x+50`

Explanation:

Given: Hector saved twice as much money as Sam.

Ted saved $100 more than Hector.

Gina saved $50 less than Ted.

As given, lets assume the amount of money Sam has in saving be "x".

Now, finding saving of each person given.

Writing the algebric expression of each´s saving amount.

we know, Hector saved twice as much money as Sam.

∴ Hector saving=
`\$2x`

Also, Ted saved $100 more than Hector.

∴ Ted´s saving=
`\$(2x+100)`

Next finding Gina´s saving

As given, Gina saved $50 less than Ted.

∴ Gina´s saving=
`\$ (2x+100)-\$ 50`

Opening parenthesis and solving it.

⇒ Gina´s saving=
`\$ 2x+\$50`

Algebric expression of Gina´s saving=
`2x+50`