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.
