A company buys paper clips at the rate of $7.50 per box for the first 10 boxes, $5.50 per box for the next 10 boxes, and $3.50 per box for any additional boxes. How many boxes of paper clips can be bought for $221.00?

Respuesta :

Answer:

46 boxes


Step-by-step explanation:

  • First 10 boxes can be bought for [tex]7.5*10=75[/tex]
  • Next 10 boxes can be bought for [tex]5.5*10=55[/tex]

So for a total of 20 boxes, the cost is [tex]75+55=130[/tex]

We have remaining [tex]221-130=91[/tex]


Each additional box costs 3.5, so for 91 dollars, we can get:

[tex]\frac{91}{3.5}=26[/tex] boxes


So, total [tex]10+10+26=46[/tex] boxes can be bought for $221.00