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IM 7.2.6 Lesson: Using Equations to Solve Problems

Without calculating, drag these expressions to order their quotients from least to greatest.

Place the decimal point in the appropriate location in the quotient by dragging the point.

Use this answer to find the quotient of one of the previous expressions.

A performer expects to sell 5,000 tickets for an upcoming concert. They want to make a total of $311,000 in sales from these tickets.

Assuming that all tickets have the same price, what is the price for one ticket?

How much will they make if they sell 7,000 tickets?

How much will they make if they sell 10,000 tickets? 50,000? 120,000? a million? tickets?

If they make $404,300, how many tickets have they sold?

How many tickets will they have to sell to make $5,000,000?

Aluminum cans can be recycled instead of being thrown in the garbage. The weight of 10 aluminum cans is 0.16 kilograms. The aluminum in 10 cans that are recycled has a value of $0.14.

If a family threw away 2.4 kg of aluminum in a month, how many cans did they throw away? Explain your reasoning.

What would be the recycled value of those same cans? Explain your reasoning.

Write an equation to represent the number of cans given their weight .

Write an equation to represent the recycled value of cans.

Write an equation to represent the recycled value of kilograms of aluminum.

The EPA estimated that in 2013, the average amount of garbage produced in the United States was 4.4 pounds per person per day. At that rate, how long would it take your family to produce a ton of garbage? (A ton is 2,000 pounds.)