Question

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

Answer 1

7 ordered with Soda;

3 ordered with water

Explanation:

Given

`m \to` With water

`n \to` With Soda

So:

`m + n =10` --- total

`5m + 6.75n = 62.25` -- cost

Required

Find m and n

`m + n =10`

Make m the subject

`m = 10 - n`

Substitute
`m = 10 - n` in
`5m + 6.75n = 62.25`

`5(10-n) +6.75n = 62.25`

`50-5n +6.75n = 62.25`

Collect like terms

`-5n +6.75n = 62.25 - 50`

`-5n +6.75n = 12.25`

`1.75n = 12.25`

Solve for n

`n = 12.25/1.75`

`n = 7`

`m = 10 - n`

`m = 10 - 7`

`m =3`