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

Question 2:

All the best!

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

Hi!

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

Thanks.

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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]

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

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Q1 is a Simultaneous Equation.

 Chicken Duck Total R1 4 5 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]

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Question 1: