Lesson 21 Solve Problems Using the Four Operations

    • Let’s represent and solve problems using all four operations.

Warm-up Notice and Wonder: Apples Again

What do you notice? What do you wonder?

A farmer picked some apples.
Some of the apples are packed into boxes and some are not.

Activity 1 Apple Adventure

Apple barn.

A farmer picked some apples. Some of the apples are packed into boxes and some are not.

From the list, choose 4 numbers that would make sense together in this situation. Write your choices in the table. Be ready to explain how your numbers make sense together.

List of numbers: 400, 300, 240, 12, 350, 290, 230, 10, 340, 280, 170, 5.

total number of apples

number of apples not in boxes

number of boxes

number of apples in each box

Activity 2 Apple Days

Problem 1

Tyler and Clare are helping with a festival at an apple orchard.
Tyler is stacking apples to sell at the event. There are 85 apples for his display. He has already made 5 rows of 10 apples. How many apples are left?

Apples on a tree.
  1. Write an equation with a letter for the unknown quantity to represent this situation.

  2. Solve the problem. Explain or show your reasoning.

Problem 2

Clare is helping sell baked goods at the event. A customer buys 8 brownies that cost $3 each. Clare adds that money to the cash box and now there is $125 in the cash box. How much money was in the cash box before that purchase?

  1. Write an equation with a letter for the unknown quantity to represent this situation.

  2. Solve the problem. Explain or show your reasoning.

Problem 3

The market at the orchard had 200 jars of applesauce for sale. At the end of the event, 184 jars had been sold. The rest of the jars were shared equally among 4 people who work there. How many jars of applesauce did each person get?

  1. Write an equation with a letter for the unknown quantity to represent this situation.

  2. Solve the problem. Explain or show your reasoning.

Practice Problem

Problem 1

There are 240 people at the park for the soccer games. There are 150 fans. The rest of the people are on 6 soccer teams with an equal number of players. How many players are on each soccer team?

  1. Write an equation to represent this situation. Use a letter for the unknown quantity.

  2. Solve the problem. Explain or show your reasoning.