The Budgie Problem
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A bird collector wants to buy 100 budgies and wants to spend exactly $100.
Blue budgies cost $10 each, green budgies cost $3, and yellow budgies cost 50 cents.
The collector wants to purchase at least one budgie of each colour.
How many blue, green and yellow budgies could he buy?
b = 5
g = 1
y = 94
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Four Step Problem Solving Method Checklist
Step 1 - Understand the problem
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We read the problem out loud
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We restated the problem in our own words
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We know the information given to us in the problem
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We know the information we need to find out
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Step 2 - Making a plan
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We have an idea of the types of math operations we want to try
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Our plan can be described in a steps
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Step 3 - Carrying out the plan
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We are trying different ways to solve the steps
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We are trying to solve the problem with words, numbers and diagrams
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We are talking about the problem
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We are persevering and not giving up
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We are trying different strategies
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We are asking for help when we get stuck
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Step 4 - Looking back and reflecting
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We are preparing to share our ideas with the class
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We are evaluating what strategies worked well and which ones weren’t as successful
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We are deciding how accurate our results are
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We are showing our answers in creative ways
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Step 1 - Understand the problem
Restate the problem in your own words:
A bird collector has 100 bucks and he wants to buy 100 budgies. Blue budgies cost $10 each, green budgies cost $3, and yellow budgies cost 50 cents. He wants to buy at least 1 of each colour.
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What information does the problem give you?
The information given is Blue budgies cost $10 each, green budgies cost $3, and yellow budgies cost 50 cents.
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What information do you need to find out?
We need to find out which 100 budgies the bird collector should buy using $100.
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Step 2 - Making a plan
Use this box to keep track of all the ways you planned to solve the problem.
We planned on using addition, multiplication, and division.
We thought of trying to start by getting $50 and then multiplying the total by 2 to get $100 and 100 budgies.
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Step 3 - Carry out the plan
Use this area to show your work as you try to solve the problem
We tried to make different equations to help us solve the problem.
We were predicting different things and experiences we had in similar problems.
(Our work is at the bottom of the page.)
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Step 4 - Looking back and reflecting
Use this box to explain your answer with numbers and words
Use this side of the box for numbers
(each computation should be on a new row)
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Explain your math in words on this side
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y = 100 - b - g
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We started by making an equation.
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b = 5
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We decided on 5 blue budgies.
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g = 1
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We decided on 1 green budgie.
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y = 100 - 5 - 1 = 94
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We found out we need to buy 94 yellow
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b = 5 g = 1 y = 94
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We found that with $100 we can buy 100 budgies: 5 blue, 1 green, and 94 yellow.
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Use this box to explain your answer with visuals
 x 5  x 1  x 94 |
Use this box to explain what strategies worked well and which ideas didn’t work out well
We didn’t use division or multiplication, but we did use addition and subtraction. In addition, we also found out we had to use variables.
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Total Money the bird collector has = $100
1 blue budgie = $10
1 green budgie = $3
1 yellow budgie = $0.50
The bird collector has $100 to spend and wants to buy exactly 100 budgies. Which budgies will he buy?
Solution:
Total Money the bird collector has = $100
1 blue budgie = $10
1 green budgie = $3
1 yellow budgie = $0.50
The bird collector has $100 to spend and wants to buy exactly 100 budgies. Which budgies will he buy?
We’ll start by making equations. In this problem, there is most likely going to be more yellow budgies then blue or green budgies. An equation for this would be y = 100 - b - g. We know this because we think that there will be around 90 yellow budgies.
Next, we’ll start with the blue budgies because of our equation. We should always start off with the biggest amounts first. 1 budgie costs $10. 2 budgies cost $20. 3 budgies cost $30. 4 budgies cost $40. $5 budgies cost $50, and so on. Our group tried to solve the answer with 1 blue budgie before but it didn’t work out. 10 budgies are $100, therefore that is too much. We’ll try with 5 blue budgies now because we don’t want it to be too low or too high again. This will cost us $50.
$100 - $50 = $50 We still have to spend $50 because 100 - 5 = 95 We still have to buy 95 budgies. Another equation in this problem would be 100 = y + g + b
We know this because all these totals have to add up to 100 budgies in total.
We can change this equation to 100 = y + g + b(5) At least we are predicting that the blue budgies bought are going to be 5.
Next are the green budgies. Each green budgie costs $3. We’re not going to buy too much because 3 is an odd number, and to get the ones place to be on 5 or 10, we would need to buy a lot of green budgies. We’ll go with 1 green budgie for now and we can add more later.
$50 - $3 = $47 still to spend 95 - 1 = 94 more budgies to buy.
We still have to buy 94 budgies. Let’s get back to our equation. y = 100 - b - g
We can change this to y = 100 - 5 - 1 = 94
Let’s buy 94 yellow budgies. Every yellow budgie costs half a dollar, and 2 yellow budgies can be bought for $1. 94 ÷ 2 = 47. $47 still had to be spent. Now we have $0 left and we bought 100 budgies!
To Check:
b = 5 5 x 10 = 50
g = 1 1 x 3 = 3
y = 94 94 x 0.50 = 47
50 + 3 + 47 = $100
In conclusion the bird collector will buy 5 blue budgies, 1 green budgie, and 94 yellow budgies which leads us to 100 budgies and 100 dollars.
We know this because:
blue budgies = 5 = 5 x 10 = 50
green budgies = 1 = 1 x 3 = 3
yellow budgies = 94 = 94 x 0.50 = 47
= 50 + 3 + 47
= $100
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