Pupils contributed some money to help needy people. They bought twenty four 2-kg packets of flour, thirty six 1-kg packets of flour and a fifty kilogram bag of sugar. The flour was packed in 500g packets and the sugar in 250 g packets. How many people got both a packet of flour and a packet of sugar?
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To find out how many people got both a packet of flour and a packet of sugar, we need to first determine the total number of packets of flour and sugar bought.
The number of 2-kg packets of flour bought is 24.
So, the total weight of flour in kg is (24 * 2) = 48 kg.
The number of 1-kg packets of flour bought is 36.
So, the total weight of flour in kg is (36 * 1) = 36 kg.
We also know that a 50 kg bag of sugar was bought.
Now, let's convert the flour and sugar into grams since we are given the weight of the packets in grams.
The weight of flour in grams is (48 * 1000) = 48000 g.
The weight of the sugar in grams is (50 * 1000) = 50000 g.
Next, we need to determine the number of packets of flour and sugar.
For flour, each packet is 500g. So, the number of packets of flour is (48000 / 500) = 96 packets.
For sugar, each packet is 250g. So, the number of packets of sugar is (50000 / 250) = 200 packets.
Now, we need to find the minimum number of packets between flour and sugar to determine how many people got both a packet of flour and a packet of sugar.
The minimum number of packets is the smaller of the two, which is 96 packets.
Therefore, 96 people received both a packet of flour and a packet of sugar.