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Andre and Jillian were shopping at the same grocery store for bottles of sports drinks for their kickball teams. Andre bought 3
packs of bottled drinks, plus 11 single bottles. Jillian purchased 5 packs, plus 3 singles. Andre and Jillian discovered that they
had purchased the same number of bottles. How many bottles were in each of the packs? (All of the packs have the same
number of bottles.)

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jschaefer93

Answer:

x = 4

Step-by-step explanation:

The equation comes out to be:

3x + 11 = 5x + 3

Move the variables to the left-hand side and change its sign

And move the constant to the right-hand side and change its sign:

3x - 5x = 3 - 11

Combine like terms to get:

-2x = -8

Isolate x by dividing -2 on both sides:

-2x/-2 = -8/-2

x = 4

The number of bottles in the pack is 4.

Expressions that represent the total bottles bought

The expression that can be used to represent the number of bottles bought by Andre is 3p + 11.

The expression that can be used to represent the number of bottles bought by Jillian is 5p + 3

Where:

p = number of bottles in the packs bought

Determining the number of bottles in the pack

If both Andre and Jillian have the same number of bottles, their expressions would be equal

3p + 11 = 5p + 3

In order to determine the value of p, take the following steps:

Combine similar terms

5p - 3p = 11 - 3

2p = 8

Divide both sides of the equation by 2

p = 4

To learn more about equations, please check: https://brainly.com/question/25875552

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