A new carpet cleaning company claims that they can clean 3 times as many carpets in 1 week as another company. If both companies combined can 332 carpets in 1 week, how many carpets does the new company clean?
Accepted Solution
A:
Answer:The number of carpets cleaned by new company per week is 249Step-by-step explanation:Let us assume :The number of carpets cleaned by old company in 1 week = mSo, the number of carpets cleaned by new company in 1 week = 3 x ( Number of carpets cleaned by old company) = 3 (m) = 3 mTotal carpet cleaned altogether in a week = 332So, Total Carpets cleaned by both companies in 1 week = Number of carpets cleaned by ( Old + New) company in 1 week. = m + 3 m = 4 m⇒ 4 m = 332or, m = 332 / 4 = 83 , or m = 83Hence number of carpets cleaned by old company per week = m = 83The number of carpets cleaned by new company per week = 3 m = 3 x 83= 249