Mathematical question.

Question

Sugar was delivered to a supermarket packed in 500 g packets. 1 kg packets and 2 kg packets. A total of 4.8 tonnes was delivered. If a third of this was in 500 g packets, 2/5 in 1 kg packets and the rest in 2 kg, how many packets were delivered altogether?

Answer 1

1 tonne = 1 metric ton = 1000 kg

1/3*4.8 tonnes = 1.6 tones = 1600 kg

500 g = 1/2 kg so 1600 / (1/2) = 3200 packets of the 500 gram packets

2/5 * 4.8 tonnes = 1.92 tonnes = 1920 kg ; 1920 kg/ 1 kg = 1920 packets of the 1 kg packets

1/3+2/5 = 11/15, so 4/15 of the shipment was 2 kg packets.

4/15 * 4.8 = 1.28 tonnes = 1280 kg; 1280/2 = 640 of the 2 kg packets

CHECK:

3200 * 1/2 + 1920 * 1 + 640 * 2 = 1600 + 1920 + 1280 = 4800

3200 + 1920+ 640 = 5760 individual packets