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MA_775_DIABLO [31]
3 years ago
8

Help please!!!!!!!!!

Mathematics
1 answer:
dusya [7]3 years ago
5 0

Answer:

6 glasses.

Step-by-step explanation:

Mark drank a total of 10 glasses of water and iced tea yesterday.

Each glass of water contained 8 ounces.

Each glass of iced tea contained 12 ounces.

All together he drank 96 ounces.

Given a system of simultaneous equations:

x + y = 10

8x + 12y = 96

This depicts that there are x glasses of water and y glasses of iced tea.

Solving the simultaneous equations:

x + y = 10 ... (i)

8x + 12y = 96 ... (ii)

Multiplying (i) by 8 and (ii) by 1 gives;

8x + 8y = 80 ... (i)

8x + 12y = 96 ... (ii)

Subtracting (i) from (ii) gives;

4y = 16 , y = 16/4 = 4

So mark drank 4 glasses of iced tea and 10 - 4 = 6 glasses of water.

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