Tyler needs at least $205 for a new video game system. He has already saved $30. He earns $7 an hour at his job. Write and solve an inequality to find how many hours he will need to work to buy the system. Interpret the solution._?

1 Answer
PJ
Jul 11, 2018

Tyler needs to work at least 25 hours

Explanation:

The words "at least" indicate that an "inequality" is needed here to describe Tyler's situation.

let's use the letter T (Target) to represent the amount of money that Tyler needs, x for the amount of money he has and h for the number of hours he works.

things we are told:

T >= 205

x = 30 + 7h

If he reaches his target then x = T so:

30 + 7h >= 205

subtract 30 from both sides

7h >= 203 - 30

7h >=175

divide both sides by 7

h >= 25

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