Answer:
68 adult tickets and 40 child tickets were sold.
Step-by-step explanation:
Create a system of equations where a is the number of adult tickets sold and c is the number of child tickets sold:
8a + 5c = 744
a = 2c - 12
Solve by substitution by substituting the second equation into the first one:
8(2c - 12) + 5c = 744
16c - 96 + 5c = 744
21c - 96 = 744
21c = 840
c = 40
So, 40 child tickets were sold. Plug this into the second equation to solve for a:
a = 2c - 12
a = 2(40) - 12
a = 80 - 12
a = 68
So, 68 adult tickets and 40 child tickets were sold.
No, 21 is a multiple of 7
Answer:
What is the objective to answer the question? Is it how much they will get?
Part A
Your problem statement already shows you the conversion.
Bottles purchased: 5×10¹⁰
Bottles recycled: 8.3×10⁹
Part B
The ratio of bottles purchased to bottles recycled is
... (5×10¹⁰)/(8.3×10⁹) = 0.6×10¹ = 6.0
The number of bottles purchased is 6 times the number of bottles recycle.
