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?

The number of carpets cleaned by new company per week is 249

Step-by-step explanation:

Let us assume:

The number of carpets cleaned by old company in 1 week = m

So, the number of carpets cleaned by new company in 1 week

= 3 x (Number of carpets cleaned by old company)

= 3 (m) = 3 m

Total carpet cleaned altogether in a week = 332

So, 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 = 332

or, m = 332 / 4 = 83, or m = 83

Hence number of carpets cleaned by old company per week = m = 83

The number of carpets cleaned by new company per week

= 3 m = 3 x 83 = 249