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Rachel, Adam, Michelle, Hannah, and James are going to the movies. They have $65 to spend on tickets and snacks. Each movie ticket costs $9.50, and each snack item costs $4.50. How many snacks can they buy to split among them? This problem is modeled by the inequality 5(9.5) + 4.5x ? 65, which is equal to 47.5 + 4.5x ? 65. The first step in solving the inequality is to . The second step is to . The five friends will have to split snacks.

Respuesta :

mckenziejaeannpdv330

1. subtract 47.5 from both sides

2. divide both sides by 4.5

3. 3

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Answer:

1. By substitution property of inequality

5(9.5)+4.5[tex]\leq[/tex]65

2. By using multiplication  in equality then we get

47.5+4.5x[tex]\leq[/tex]65

3. The five friends will have 3 snacks to split.

Step-by-step explanation:

Given

Five friends have total money= $65

Cost of each movie ticket= $9.50

Cost of each snack item= $4.50

Let ,five friends have total snacks = x

Total movie tickets=5

Because total number of friends=5

The inequality expressionis given by

I Step: [tex]5(9.5)+4.5x\leq 65[/tex]

Reason: By using substitution property of inequality

[tex]47.5+4.5x\leq 65[/tex

2. Step :[tex]4.5x[tex]\leq[/tex]65-47.5[/tex]

[tex]4.5x\leq 17.5[/tex]  ( by subtarction 47.5  from both sides)

[tex]x\leq \frac{17.5}{4.5}[/tex]   ( by dividing 4.5 on both sides )

[tex]x\leq 3.889[/tex]  (by simplication)

[tex]x=3[/tex]

Because they can buy maximum 3 snacks .

Beacause the number of snacks is natural number so we can't take in rational numbers.

Hence, the five friends will have 3 snacks to split.

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