Answer:
[tex]5x+6y=22.50\\x+9y=24.75[/tex]
Step-by-step explanation:
Cost of 5 drinks and 6 snacks = $22.50
Cost of 1 drink and 9 snacks = $24.75
Each drink costs the same and each snack costs the same.
Let cost of each drink = $[tex]x[/tex]
Let cost of each snack = $[tex]y[/tex]
As per the question, writing the system of equations:
[tex]5x+6y=22.50 ...... (1)\\x+9y=24.75 ...... (2)[/tex]
Let us use elimination method, to find the cost of each drink and cost of each snack.
Multiplying equation (2) by 5 and then subtracting equation (1) from it:
[tex]45y - 6y = 123.75 - 22.5 \\\Rightarrow 39y = 101.25\\\Rightarrow y \approx \$2.60[/tex]
Using equation (1):
[tex]5x+2.6 \times 6 = 22.5\\\Rightarrow 5x = 22.5 - 15.6\\\Rightarrow 5x = 6.9\\\Rightarrow x = \$1.38[/tex]
Cost of each drink = $1.38
Cost of each snack = $2.60
