Let x denote the count of $5 bills and y signify the count of $10 bills. It can be stated that "the number of $10 bills is twice the number of $5 bills." Thus, y is 2 times x. We can formulate an equation, y = 2x (equation 1). The total value of all bills amounts to $125, allowing us to create another equation: 5*(number of $5 bills) + 10*(number of $10 bills) = 125. That leads to the equation 5(x) + 10(y) = 125 (equation 2). By substituting y = 2x into equation 2, we get 5(x) + 10(2x) = 125. This simplifies to 5x + 20x = 125. Combining like terms yields 25x = 125. Dividing both sides by 25 results in x = 5. By substituting x = 5 in the first equation, we find y = 2(5) = 10. Consequently, there are 5 $5 bills and 10 $10 bills.
To start, calculate the return for each
price per unit
Return = quantity sold x price
per unit
Return1 = 5000 units x Php 900
Return1 = Php 4,500,000
Next, figure out the return for the other price per
unit
Return2 = quantity sold x
price per unit
Return2 = (5000 + 1500 units) x (
Php 900 – 100)
Return2 = Php 5,200,000
Thus, a price of Php 800 per unit will result in a higher return.
Let x = 6.2
Define y as half of x: y = 0.5x
Calculate y: y = 0.5 × 6.2 = 3.1
Calculate z by subtracting x and y from 14.5: z = 14.5 - 6.2 - 3.1 = 5.2
Each variable corresponds to a triangle side
Answer:
$12.18
Step-by-step explanation:
Provided:
The price of a 0.8 liter bottle of Mexican wine amounts to 101 pesos.
Consequently,
The price for 1 liter of Mexican wine can be determined as 
pesos.
Additionally,
Converting, 1 Mexican peso equates to 0.051 dollars.
As a result, the equivalent cost of 1 liter of Mexican wine is 
dollars.
Moreover,
Knowing that 1 gallon equals 3.78541 liters;
Thus, half a gallon equals 
= 1.892705 liters.
Therefore, the cost for a half-gallon jug would be 
dollars.
In conclusion, the price for a half-gallon of this wine is $12.18.
