Question

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.

Answer 1

1. subtract 47.5 from both sides

2. divide both sides by 4.5

3. 3

Just did in edg

Answer 2

1. By substitution property of inequality

5(9.5)+4.5
`\leq`65

2. By using multiplication in equality then we get

47.5+4.5x
`\leq`65

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

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:
`5(9.5)+4.5x\leq 65`

Reason: By using substitution property of inequality

`47.5+4.5x\leq 65[/tex</p><p>2. Step :[tex]4.5x[tex]\leq`65-47.5[/tex]

`4.5x\leq 17.5` ( by subtarction 47.5 from both sides)

`x\leq (17.5)/(4.5)` ( by dividing 4.5 on both sides )

`x\leq 3.889` (by simplication)

`x=3`

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.