The number of drinks that are sold if the price

Gregory Emery

Gregory Emery

Answered question

2021-12-28

The number of drinks that are sold if the price is set to $2.50 per drink.
Given information:
If the price is set at $1.25 per drink, then 400 drinks are sold.

Answer & Explanation

Louis Page

Louis Page

Beginner2021-12-29Added 34 answers

Given information:
If the price is set at $1.25 per drink, then 400 drinks are sold.
Calculation:
As it is provided that if the price is set at $1.25 per drink, then 400 drinks are sold.
Let x represent the number of drinks that are sold if the price is set to $2.50 per drink.
Set up a proportion by writing two equivalent ratios:
1.25400=2.5x
Multiply by LCD, that is 400x in above equation.
400x1.25400=400x2.5x
400x1.25400=400x2.5x
Solve the above linear equation.
1.25x=2.5400
1.25x=1000
x=10001.25
x=800
Thus, the number of drinks that are sold is 800.

Becky Harrison

Becky Harrison

Beginner2021-12-30Added 40 answers

Step 1
For example, look at this equation:
ab=cd
For the equation
1.25400=2.5x
Since the denominators are also the same here, b×d, you can remove them and say that:
a×b=b×c
The cross product is
1.25×x=400×2.5
Solving
x=400×2.51.25
reducing
x=800
karton

karton

Expert2022-01-04Added 613 answers

Step 1
1.25400=2.5x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 400x, the least common multiple of 400, x
x×1.25=400×2.5
Multiply 400 and 2.5 to get 1000
x×1.25=1000
Divide both sides by 1.25
x=10001.25
Expand 10001.25 by multiplying both numerator and the denominator by 100.
x=100000125
Divide 100000 by 125 to get 800.
x=800

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