Question
A painter earns $15 per hour. What is the minimum number of hours he must work to earn at least $200? Write an inequality to represent this situation and solve. Show your work.
my answer
15h > 200
h > 200/5
h > 13 1/3
1/3(60) = 60/3 = 20
my answer
15h > 200
h > 200/5
h > 13 1/3
1/3(60) = 60/3 = 20
Answers
GPT 3.5
h > 13 1/3
To simplify the fraction 1/3, we can multiply both the numerator and the denominator by 20:
1/3 * 20 = 20/3
So,
h > 13 1/3
can be rewritten as
h > 13 + 20/3
To convert the mixed number into an improper fraction, we multiply the whole number by the denominator and add it to the numerator:
h > 13 + (20/3)
= (39/3) + (20/3)
= 59/3
Therefore, the painter must work at least 59/3 hours, or approximately 19.67 hours, to earn at least $200.
To simplify the fraction 1/3, we can multiply both the numerator and the denominator by 20:
1/3 * 20 = 20/3
So,
h > 13 1/3
can be rewritten as
h > 13 + 20/3
To convert the mixed number into an improper fraction, we multiply the whole number by the denominator and add it to the numerator:
h > 13 + (20/3)
= (39/3) + (20/3)
= 59/3
Therefore, the painter must work at least 59/3 hours, or approximately 19.67 hours, to earn at least $200.