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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