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goblinko [34]
3 years ago
10

Emerson is making a punch that contains 60% grape juice and the rest lemon-lime soda. The punch has 2 liters of lemon-lime soda.

Part A: Write an equation using one variable that can be used to find the total number of liters of grape juice and lemon-lime soda in the punch. Define the variable used in the equation. (5 points) Part B: How many liters of grape juice are present in the punch? Show your work. (5 points)
Mathematics
1 answer:
IrinaK [193]3 years ago
8 0
A punch contains 60% of grape juice and the rest is lemon - lime soda ( 2 liters).
Part A:
An equation is:
0.6 x + 2 = x,
where x stays for the liters of punch.
Part B:
x - 0.6 x = 2
0.4 x = 2
x = 2 : 0.4
x = 5 liters
Grape juice = 5 - 2 = 3 liters.
Answer: There are 3 liters of grape juice in the punch.
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The product of two numbers is 240. The first number is 8 less than the second number. Write an equation can be used to find x
DaniilM [7]

Answer:

The equation x = y-8

The equation  (y-8) y = 240

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Step-by-step explanation:

<u>Explanation</u>:-

<u>Step(l)</u>:-

Let 'x' be the first number and 'y' be the second number

Given the product of two numbers is 240

Given  data        x y = 240 …(l)

Given data the first number is 8 less than the second number.

                       x = y-8...(ll)

Substitute (ll) in equation (l) , we get

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                           y^{2} -8y -240 =0

                            y^{2} -20y+12y -240 =0

                           y(y -20)+12(y -20) =0

                           (y +12)(y -20) =0

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              Y= -12 is not satisfied

              we can choose y = 20

<u>Step(ll):</u>-

Given data x =y-8

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The first number x = 12 and second number y =20

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