Question

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 kind of drink. HELP ASAP!!

Answer 1

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