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Ten members of the academic team went to a local restaurant after their contest. Each meal combo that came with soda cost $6.75, and each meal combo that came with water cost $5.00. The total bill for the meal combos before tax was $62.25. This indicates that Choose... members ordered water with their m

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MrRoyal

Answer:

7 ordered with Soda;

3 ordered with water

Step-by-step explanation:

Given

[tex]m \to[/tex] With water

[tex]n \to[/tex] With Soda

So:

[tex]m + n =10[/tex] --- total

[tex]5m + 6.75n = 62.25[/tex] -- cost

Required

Find m and n

[tex]m + n =10[/tex]

Make m the subject

[tex]m = 10 - n[/tex]

Substitute [tex]m = 10 - n[/tex] in [tex]5m + 6.75n = 62.25[/tex]

[tex]5(10-n) +6.75n = 62.25[/tex]

[tex]50-5n +6.75n = 62.25[/tex]

Collect like terms

[tex]-5n +6.75n = 62.25 - 50[/tex]

[tex]-5n +6.75n = 12.25[/tex]

[tex]1.75n = 12.25[/tex]

Solve for n

[tex]n = 12.25/1.75[/tex]

[tex]n = 7[/tex]

[tex]m = 10 - n[/tex]

[tex]m = 10 - 7[/tex]

[tex]m =3[/tex]

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