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Question

mrs heng has some sweets. if she gives each of her pupils 10 sweets. she will have 5 sweet left. if she gives each pupil 12 sweets, she will need another 45. how many pupils does she have?

Answer

Answer is 25 pupils. Can refer to link:

https://www.kiasuparents.com/kiasu/question/19823-2/#post-19841

I suggest you try Big Devil’s method first, gain a good understanding, then use Sky Minecrafter’s method, enjoy the quick solution with same understanding of course.

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I got 25 too, but school teacher mark wrong, give 15 as answer.

its ok, maybe she marked wrongly

 

thks

 

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Hi Chloecube, 

Well done and have confidence! Having confidence works more magic than doing 10 times the questions! Enjoy learning!

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25 is correct, the difference between giving 10 sweets and 12 sweets is 50, hence there are 50/2 = 25 people to give

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5 + 45 = 50

12 – 10 = 2

50/2 = 25

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mrs heng has some sweets. if she gives each of her pupils 10 sweets. she will have 5 sweet left. if she gives each pupil 12 sweets, she will need another 45. how many pupils does she have?

Number of Pupils = 1 Unit

EQ1: 10 units = total sweets – 5

EQ2: 12 units = Total Sweets + 45

 EQ2 – EQ1: 2 Units = 50

Pupils = 25

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mrs heng has some sweets. if she gives each of her pupils 10 sweets. she will have 5 sweet left. if she gives each pupil 12 sweets, she will need another 45. how many pupils does she have?

Eq1: X – 10Y = 5

EQ2: 12Y – X = 45

EQ1+EQ2: 2Y = 50

Y = 25 pupils

 

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number of pupils x 10 + 5 = number of pupils x 12 – 45
number of pupils ——- (5 + 45)/(12 – 10) = 25

Ans : 25 pupils.

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This is a Matrix question. 

  Give     Left     Total     
Ratio 1  10u 10u + 5    
Ratio 2  12u – 45 12u – 45  

10u + 5 = 12u – 45

5 + 45 = 12u – 10u

2u = 50

1u = 50 ÷ 2 = 25

 

 

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