Answer:
24
Step-by-step explanation:
let W represent the number of wins
and let P represent the number of plays
let T represent profit from each play.
from the question, Marcelo played 3 times, this means 3P can represent the first equation
He won 7 times, 7W can represent the second equation
and T which is profit is the difference between the number of tokens he won in each game and the number of tokens he spent to play each game.
Therefore, T = 7W - 3P
to get the total profit we will multiply T by the number of games played (in this case, 6)
this means that 6T = (7W - 3P) * 6
Since Marcelo spent and won tokens, the above expression of W and P can be expressed by a single variable. What this means is that, we can make 7W equal 7P or 3P equal 3W since we are dealing in the same item (tokens won and played)
profit per game (T) = 7P - 3P = 4P
total profit (for 6 games) = 4P * 6 =24
Second expression
we can also look at it from this angle;
-3 tokens+7 tokens = profit per game
profit per game for Marcelo = 4 tokens
total number of games = 6
total profit for Marcelo =6*4 = 24
Before answering these questions, we need to write out both equations.
For Job 'A', his salary would be: 55,000 + 2,500n
This assumes 'n' equals the number of years Lenny spends at these companies.
For Job 'B', his salary would be: 62,000 + 2,000n
A.
So basically we need to find a number were:
55,000 + 2,500n = 62,000 + 2,000n
is true. So basically solve ^that^ equasion.
55,000 + 2,500n = 62,000 + 2,000n
simplify
500n = 7,000
devide
n = 14
Fourteen years is your answer.
B.
a. 55,000 + 2,500n
b. 62,000 + 2,000n
So in order to answer this question, you basically just have to replace 'n' with the number '20', and see which one's bigger.
a.
55,000 + 2,500(20)
55,000 + 50,000
105,000
b.
62,000 + 2,000(20)
62,000 + 40,000
102,000
105,000 > 102,000
So your answer is:
Lenny should go to company 'a' because 105,000 is greater than 102,000.
[[tip: If you want to wow, surprise, or confuse your teacher (depending on her actual intelligence) write something like, 'another reason Lenny should choose company 'a' is because it gives higher annual raises, which is better in long-term.' He/She may not get it though, lol, wrong class.]]
Anyway, I hope this helped! :D
