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Svetllana [295]
3 years ago
11

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?
Mathematics
1 answer:
lutik1710 [3]3 years ago
5 0

Answer:

2x+50

Step-by-step 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

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<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

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