A business has $11,080 to spend on new laptops and tablet computers for its salespeople. The laptops cost $515 each. The tablets cost $285 each. The business wants each salesperson to have either a laptop or a tablet. There are 30 salespeople. How many of each type of computer should the business buy?

9 laptops and 21 tablets

11 laptops and 19 tablets

19 laptops and 11 tablets

21 laptops and 9 tablets

Question

A business has $11,080 to spend on new laptops and tablet computers for its salespeople. The laptops cost $515 each. The tablets cost $285 each. The business wants each salesperson to have either a laptop or a tablet. There are 30 salespeople. How many of each type of computer should the business buy?

 9 laptops and 21 tablets

 11 laptops and 19 tablets

 19 laptops and 11 tablets

 21 laptops and 9 tablets

hero · Answer

Let
x = the salespeople with laptops
y = the salespeople with tablets

Then
The total people is represented by
x + y = 30

The total spent is represented by
515x + 285y = 11080

hero · Answer

Therefore, solve the following system of equations:

x + y = 30
515x + 285y = 11080

lena772 · Answer

(x+y=30)
285x+285y=8550
515x+285y=11080

-230x=-2530
x=11

lena772 · Answer

11+y=30
y=19

hero · Answer

Great job.