Jorge and his friends bought drinks for a charity event. The table shows the numbers of each kind of drink bought and the amount each person spent. Identify the price of each ki…

Question

asked Nov 20, 2020 81.3k views

1 Answer

Distro · Answer 1 · 2020-11-24T21:13:29+0000

Answer:

The answer to your question is: the second option

soda $2.00

lemonade $ 2.50

water $ 1.00

Explanation:

soda = x; lemonade = y and water = z

Equations

5x + 4y + 6z = 26

4x + 2y + 7z = 20

3x + 6y + 4z = 25

Δ =
$\left[\begin{array}{ccc}5&4&6\\4&2&7\\3&6&4\end{array}\right]$

= 40 +144 + 84 - 64 - 210 - 36

= -42

Δx =
$\left[\begin{array}{ccc}26&4&6\\20&2&7\\25&6&4\end{array}\right]$

= 208 + 720 + 700 - 320 - 1092 - 300

= -82

Δy =
$\left[\begin{array}{ccc}5&26&6\\4&20&7\\3&25&4\end{array}\right]$

= 400 + 600 + 546 - 416 - 875 - 360

= -105

Δz =
$\left[\begin{array}{ccc}5&4&26\\4&2&20\\3&6&25\end{array}\right]$

= 250 + 624 + 240 - 400 - 600 - 156

= -42

x = -82/ -42 = 2

y = -105/-42 = 2.5

z = -42/-42 = 1