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

Give me a moment.

Answer 2

not the first option

Answer 3

second

Answer 4

because 11x515=5665
19x285=5415
5415+5665=11080

Answer 5

515L + 285T = 11080
L + T = 30 ---> L = 30 _ T

515(30 - T) + 285T = 11080
15450 - 515T + 285T = 11080
-515T + 285T = 11080 - 15450
-230T = - 4370
T = -4370/-230
T = 19

L + T = 30
L + 19 = 30
L = 30 - 19
L = 11

19 tablets and 11 laptops

Answer 6

O.o

Answer 7

oops...L = 30 - T

Answer 8

\(\large { \color{seagreen}{ l+t=30} \Leftarrow \textit{there are 30 salespersons}\\ \quad \\
515\times l+285\times t=11,080\Leftarrow
\begin{array}{llll}
\textit{laptops are 515}\\
\textit{tablets are 285}
\end{array}\\ \quad \\
\color{seagreen}{ 515l+285t=11,080}}\)

solve the system of equation for either variable