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frozen [14]
3 years ago
11

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
Mathematics
1 answer:
Aneli [31]3 years ago
8 0

Answer:

7 ordered with Soda;

3 ordered with water

Step-by-step 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

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