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Question

Need help for the following questions.

q1. There were 1600 chickens and ducks at first . After 3/4 of chickens and 4/5 of ducks were sold, there were 130 more chickens than ducks in the farm. How many more chickens than ducks were there at first?

Ans: 400

 

q2. There were 870 children in a stadium at first. After 2/5 of girls and 1/3 of the boys left the stadium, there weee 48 more boys than girls in the stadium. How many boys were there at first?

ans: 450

 

i got those answers through using algebra and units and parts .

however, I couldn’t get the answers using model. Wonder anyone could use models to solve the questions ?

appreciate the help

Answer

Question 2:

Hope you find this helpful.

All the best!

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1 Reply 2 Likes ✔Accepted Answer

Hi 

thanks for the clear model.

May I know how it is different from the following question:

There were 235 more red balloons than green balloons at a party.

After 4/5 of the red and 3/4 of the green balloons burst, there were 92 balloons left.

How many balloons were they altogether at first?

I used the model drawing but I couldn’t get the answer 435 which I got it from units and parts method

1 Reply 1 Like

Hi!

Do you mind posting your model so that I can help you take a look at it?

Thanks.

1 Reply 1 Like

0 Replies 0 Likes

Hi Ozora, 

This is the model for the 2nd question 🙂 It takes a little bit of equations, but drawing it out will help!

-Michelle [www.dingletutors.com]

1 Reply 1 Like

thanks

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Q2 is a Simultaneous Equation.

      Girl        Boy       Total     
R1 5 3 870
R2     -3 2 48
R1 × 3           15      9     2610
R2 × 5       -15      10       240
           0       19     2850

19b = 2850

1b = 2850 ÷ 19 = 150

3b = 150 × 3 = 450

 

0 Replies 0 Likes

Q1 is a Simultaneous Equation. 

      Chicken   Duck    Total  
 R1    1600  
 R2      1       -1     130  
R2 × 5 5 -5 650  
  9 0 2250  

9c = 2250

1c = 2250 ÷ 9 = 250

4c = 250 × 4 = 1000

5d = 1600 – 1000 = 600

1000 – 600 = 400

 

 

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Hi Ozora, 

I’ve attached the full worked solutions with a model to help explain 🙂 

If this helps, please like and accept answer so we can help others! 

-Michelle [www.dingletutors.com]

0 Replies 1 Like

Question 1:

Hope you find this helpful.

All the best!

Subscribe to my YouTube channel for more Questions & Answers.

0 Replies 2 Likes
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