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salantis [7]
3 years ago
7

2. Quan plans to spend less than $80 for buying groceries. He plans to spend $68.25 on food and spend the rest on juice. Each ju

ice carton costs $3. He is curious how many juice cartons he can purchase before he runs out of money. (a) Use x to represent the number of juice cartons Quan can purchase and write an inequality that can be used to solve for x. (b) Solve the inequality. Use the solution to determine the number of juice cartons Quan can purchase
Mathematics
2 answers:
Phoenix [80]3 years ago
8 0
A) 68.25+3x<80
b) subtract 68.25 from both sides of the inequality
3x<11.75  divide both sides by 3
x<47/12
Since x must be an integer, the greatest number of cartons that he can purchase is 3. Hope this helps:)
swat323 years ago
7 0

Answer:

Step-by-step explanation:

(A)

Y = 3x + 68.25

80 = 3x + 68.25

3x = 80.00 - 68.25

3x =11.75 x = 11.75 / 3

= 3.91

(B)

He can buy 3 juice.

11.75 / 3 = 3.91

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Answer:

Simplifying

4x + -7 = -2x + -5

Reorder the terms:

-7 + 4x = -2x + -5

Reorder the terms:

-7 + 4x = -5 + -2x

Solving

-7 + 4x = -5 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.

-7 + 4x + 2x = -5 + -2x + 2x

Combine like terms: 4x + 2x = 6x

-7 + 6x = -5 + -2x + 2x

Combine like terms: -2x + 2x = 0

-7 + 6x = -5 + 0

-7 + 6x = -5

Add '7' to each side of the equation.

-7 + 7 + 6x = -5 + 7

Combine like terms: -7 + 7 = 0

0 + 6x = -5 + 7

6x = -5 + 7

Combine like terms: -5 + 7 = 2

6x = 2

Divide each side by '6'.

x = 0.3333333333

Simplifying

x = 0.3333333333

Step-by-step explanation:

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