Problem Solving for Math

5th GradeMs. Solernou

What is Guess, Check and Revise?

Guess and Check" is a problem-solving strategy that students can use to solve mathematical problems by guessing the answer and then checking that the guess fits the conditions of the problem.

Guess, Check, and Revise(steps)

Understand the problem

Make a Plan

Carry out the plan

Check the answer

Problem 1

The theater club at school put on a play. For one performance, the club sold 133 tickets and raised $471.

Tickets cost $4 for adults and $3 for students. How many student tickets and how many adult tickets did the club sell?

Step 1 (understand the problem):

Ticket cost = adult $4, student $3

Number of tickets sold: 133 tickets

Money raised=$471

Step 2 (make a plan):

We are going to take a guess, and then test it. If not correct, then we use what we learned to make a better guess.

To find how much money was made on adult tickets, multiply your number by 4.

Adult Tickets

Student Tickets

Total Money

60 133 – 60 = 73 60 (4) + 73 (3) = 240 + 219 = 459If 471 was raised, the adult ticket is too low.

80 133 – 80 = 53 80 (4) + 53 (3) = 320 + 159 = 479Too high

70 133 – 70 = 63 70 (4) + 63 (3) = 280 + 189 = 469Still low but very close

72 133 – 72 = 61 72 (4) + 61 (3) = 288 + 183 = 471YES!!!!! Sold 72 adult & 61 student tickets

On your own:

IXL 5th grade: J3

Jenna ordered sandwiches for her friends. The veggie sandwiches cost $2 apiece and the meat sandwiches cost $6 apiece. Jenna ordered 7 sandwiches and paid $34. How many of each type of sandwich did she order?

Conclusion:

There were 72 adult tickets and 61 student tickets sold

Check your answer: does it seem reasonable?