Question

9. 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?
a. 2x + 50
b. 2x - 50
c. x + 150
d. x - 50

Answer 1

Answer: The answer is A) 2x+50

Explanation:

We have a lot of missing values in this equation. We do not know how much hector or sam has, so we need to use variables;

The first thing we know is that hector has twice as much money as sam, so we start with x*2, or 2x. Now we know that ted saved 100 more than hector, so we need to add 100 to 2x, which gives us 2x + 100. Then it states that Gina saved 50 less than ted, so we need to take away 50 from the previous 100, and that leaves us wth 2x + 50.