<span>In order to find the breakeven number of game rentals, we need to find the point at which the costs are equal. To do this, we set two expressions as a function of the number of games, equate them, and solve.
For Fun Guys, cost C = 20 + 6.5g, where g is the number of games
For Game Bank, C = 50 + 3.5g
Equating -> 20 + 6.5g = 50 + 3.5g -> 3g = 30 -> g = 10
At 10 games, the cost will be the same for both stores, and that cost is 50 + 3.5* 10 = 20 + 6.5*10 = $85.</span>
Answer:
There are 75 pencils and 25 pens.
Step-by-step explanation:
If Tom has three times as many pencils than pens then,
Pencils = 3(Pens)
If there are a total of 100 writing utensils then,
Pencils + Pens = 100
Substitute the word "pencils" in this equation to 3(Pens),
3(Pens) + Pens = 100
Now remember there is almost a 'hidden' one beside the word "Pens" so,
3Pens + 1Pens = 100
Add the two together,
4Pens = 100
Divide,
Pens = 25
Substitute 25 into the first equation,
Pencils = 3(25)
Pencils = 75
Thus, there are 75 pencils and 25 pens.
Answer:
Apprentice = $800
Journeyman = $1600
carpenter = $4000
Step-by-step explanation:
Let the apprentice earns X dollars.
Then ,
Journeyman will make 200% of apprentice's earning which is 2X.
Also,
Carpenter makes 250% of the earning that journeyman makes.
Which is 2.5(2X) = 5X
Their total earning should come to $6400.
Thus,
X + 2X + 5X = 6400
8X = 6400.
X = $800
So,
Earning of apprentice = X = $800
Earning of Journeyman = 2X = $1600
Earning of carpenter = 5X = $4000