Lesson 17 Use the Four Operations to Solve Problems

- Let’s use the four operations to solve problems.

Warm-up True or False: Multiply by 10

Decide if each statement is true or false. Be prepared to explain your reasoning.

$2 \times 40 = 2 \times 4 \times 10$
$2 \times 40 = 8 \times 10$
$3 \times 50 = 15 \times 10$
$3 \times 40 = 7 \times 10$

Activity 1 Questions about a Situation

What questions could you ask about this situation?

There are 142 guests at a party. All the guests are in 2 rooms. Room A has 94 guests. Room B has 6 tables that each have the same number of guests. There are 4 pieces of silverware and 1 plate for each guest.

Activity 2 Party Problems

For each problem:

Write an equation to represent the situation. Use a letter for the unknown quantity.
Solve the problem. Explain or show your reasoning.

Kiran is making paper rings each day to decorate for a party. From Monday to Thursday he was able to complete 156 rings. Friday, Kiran and 2 friends worked on making more rings. Each of them made 9 more rings. How many rings did they make over the week?
Mai has 168 muffins. She put 104 of the muffins in a basket. She packed the rest of the muffins into 8 boxes with the same number of muffins. How many muffins were in each box?
There are 184 cups on a table. Three tables with 8 people at each table come up to get drinks and each use a cup. How many cups are on the table now?

Practice Problem

Problem 1

A rope is 640 inches long. Andre cuts off 5 pieces of rope that are 16 inches each. How much rope is left?