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primary 6 | Maths
| Data Analysis
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Can help with part b?
Number of normal cards each person had at first = 7 x 40 = 280
Total number of cards each person had at first
= 80 + 280
= 360
3 normal cards were traded for 1 special card.
For every 3 normal cards Weihua traded away, he would receive 1 special card.
3 - 1 = 2
He would have 2 fewer cards than before.
Likewise, for every special card he traded away, he would receive 3 normal cards.
He would have 2 more cards than before.
384 in the end - 360 at first = 24
From this we can see that he has more cards than at first. So he must have traded special cards away and received normal cards.
Since he has 2 more cards than before when he trades away one special card,
24 ÷ 2 = 12
He traded 12 special cards away.
Number of special cards Weihua had in the end = 80 - 12 = 68
360 - 336 = 24
He had 24 fewer cards than at first. This means he must have traded normal cards away for special cards
Each time he traded 3 normal cards away he received 1 special card. He would have 2 fewer cards than before.
24 ÷ 2 = 12
This tells us he did this 12 times.
He received 12 special cards and traded away 12 x 3 = 36 normal cards.
So Weihua must have traded 12 special cards away.
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