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

Answer 1

Well if you want to use all the money we would need to find the answer by adding all the money that is being used 
let's start with the first choice]
choice 1: 9(515)+21(285)=10,620 dollars (under budget)
choice 2:11(515)+19(285)=11,080 dollars (at budget)
choice 3:19 (515)+11(285)=12,920 dollars (over the budget)
choice 4:21(515)+9(285)=13,380 dollars (way over budget)
Since our budget is 11,080 choice would be the best option because it has the same amount of money as our budget making this the best deal.
Answer:choice 2 11 laptops and 19 tablets :)

Answer 2

l=number of laptops
t=number of tables

total is 30 of them because 30 salespeople

l+t=30

and the total cost is 11080
515l+285t=11080


so we got

l+t=30 and
515l+285t=11080


solve
hmm, we can use subsitution

l+t=30
minus l both sides
t=30-l
subsitut 30-l for t in other equation

515l+285t=11080
515l+285(30-l)=11080
515l+8550-285l=11080
230l+8550=11080
minus 8550 from both sides
230l=2530
divide both sides by 230
l=11


sub back

t=30-l
t=30-11
t=19


11 laptops and 19 tablets