Answer:
6 tickets were purchased at $47
8 tickets were purchased at $57
Step-by-step explanation:
Let the tickets purchased at $47 be x
Let the tickets purchased at $57 be y
We can form an equation from the question given which will be:
x + y = 14 ....... i
47x + 57y = 738 ........ ii
From equation i
x = 14 - y ........ iii
Substitute iii into ii
47x + 57y = 738
47(14-y) + 57y = 738
658 - 47y + 57y = 738
Collect like terms
-47y + 57y = 738 - 658
10y = 80
y = 80/10
y = 8
8 tickets were purchased at $57
Note that from i
x + y = 14
x + 8 = 14
x = 14 - 8
x = 6
6 tickets were purchased at $47
Aaron is 4 years and Maria is 14 years old.
A = Aaron's age today
M = Maria's age today.
a. The equation based on the statement given will be:
M = A + 10
b. Maria's age based on the statement in 6 years will be:
= (A + 10) + 6
= A + 16
c. Based on the information above, the equation to solve their ages will be:
A + 16 = 2(A + 6)
A + 16 = 2A + 12
Collect like terms
2A - A = 16 - 12
A = 4
Therefore, Aaron is 4 and Maria is 14 years.
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Answer:
t=0 Sugar = 0 Kg
t=1min Sugar=0.27 Kg
Step-by-step explanation:
Data
Tank = 2640 L (pure water)
Sol=0.09kg Sugar per liter
Vin = Vout = 3L/min
Sugar in the beginning = ?
if beginning is t = 0min Amount of sugar = 0, this is due to the fact that at the moment of entering the tank the content is only water
, but if beginning is t= 1min then;
15 litres per minute times three minutes is 45 litres for three minutes, and half a minute's worth of water in the shower is 7 1/2 (half of 15). 45+7 1/2= 52 1/2 litres of water.<span>The difference between 100 and 52 1/2 is 47 1/2, which is our final answer.</span>
