Question

A 400 g packet of biscuits contains b biscuits. A 450g packet has five extra biscuits but each biscuit in the second packet is 1 g lighter than those in the first. find the number of biscuits in the 400 g packet.

Answer 1

To find the number of biscuits in a 400g packet, we use the information provided about the weight and number of biscuits in the 450g packet to set up an equation and solve for b.

Step-by-step explanation:

Let b represent the number of biscuits in the 400g packet. Since each biscuit in that packet can be assumed to have a uniform weight, we can calculate the weight of one biscuit as 400g divided by b. Next, we take the 450g packet which contains b + 5 biscuits, according to the information given. Each biscuit in this packet is 1g lighter than the biscuits in the 400g packet. Therefore, the weight of one biscuit from the 450g packet is (400g / b - 1g).

We can set up an equation based on the total weight of the biscuits in the 450g packet, which can be represented as (b + 5) × (400g / b - 1g) = 450g. Simplifying and solving this equation for b will provide us with the number of biscuits in the 400g packet.