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Question

Mrs Low had 17.7kg of sugar.

She packed them into 2 types of containers, small and large.

She filled 2 large containers and 4 small containers with some sugar. 

She could not fill another large container with the remaining sugar as she was short of 0.8kg.

she then filled another small container and had 0.7kg of sugar left.

a)How many more kg of sugar did each large container hold than the small container?

b)what was the mass of sugar in each small container 

Source: Anglo-Chinese School Junior

Answer

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(a)
3 large + 4 small – 0.8 ——- 2 large + 5 small = 0.7
1 large – 1 small ——- 1.5

(b)
3 large + 4 small – 0.8 = 3 small + 4.5 + 4 small – 0.8 = 7 small + 3.7 ——- 17.7
1 small ——- (17.7 – 3.7)/7 = 2

Ans : (a) 1.5 kg more; (b) 2 kg.

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This is a Simultaneous Equation. 

   Large  Small   short  Total  
R1  3 4 -0.8 18.5
R2 2 5 0.7 17
R1 – 2 1 -1    1.5

a)

0.8 + 0.7 = 1.5

b)

2 × 1.5 = 3  (change big to small)

17 – 3 = 14

7u = 14

1u = 14 ÷ 7 = 2 kg

 

 

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Thanks .

possible to use model?

 

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