Question

Authur earned $136 in three weeks. He goes back to school in one more week. He needs at least $189 to buy the new coat that he wants for school. How much must Authur earn in the next week?

Its an inequality question.

Answer 1

136+ m ≥ 189 is the required inequality : m: The earning in 4th week

Arthur needs to earn AT LEAST $53 in the fourth week to buy the coat which costs at least $189.

Explanation:

The amount earned by Arthur in first 3 weeks = $136

The amount needed to buy a coat = AT LEAST $189

Let us assume the amount Arthur needs to earn more to buy coat = $m

⇒ $ 136 + Amount Earned in 4th week ≥ $189

⇒ 136+ m ≥ 189

The above equation is the NEEDED inequality of the given situation.

Now, solving for the value of m, we get:

136+ m ≥ 189

⇒ m ≥ 189 - 136 = 53

or, m ≥ $53

Hence, Arthur needs to earn AT LEAST $53 in the fourth week to buy the coat which costs at least 189.