Brian irons 2/9 of his shirt in 3 3/5 minutes. Brian irons at a constant rate. At this rate, how much of his shirt does he iron each minute?
Answers
Step-by-step explanation:
Set up a proportion (shirt ironed/minutes = shirt ironed/minutes). I'll convert 3 3/5 to an improper fraction as well to set it up.
(2/9) / (18/5) = x / 1
Cross multiply to get
2/9 = (18/5)x
Multiply both sides by 5/18 to solve for x.
10/162 = 5/31
Given : Brian irons ²/₉ of his shirts in 3⅗ minutes.
To find : Amount of shirts that he can iron in each minute.
Solution :
We can easily solve this mathematical problem by using the following mathematical process.
Here, we will be using normal arithmetic method.
Now,
The time he takes to iron ²/₉ of his shirts = 3⅗ minutes = (15+3)/5 = ¹⁸/₅ minutes
So,
He can iron in ¹⁸/₅ minutes = ²/₉ of his shirts
He can iron in 1 minute = ²/₉ × ⁵/₁₈ = ⁵/₈₁ of his shirts
(This will be considered as the final result.)
Hence, he can iron ⁵/₈₁ of his shirts in each minute.