Question

A company makes biscuits. The biscuits are put into packets. Here are some facts:

1.15 x 10^7 biscuits are made every day
2.5 x 10^5 packets of biscuits are produced every day

a.) Calculate the mean number of biscuits in one packet.

b.) Biscuits are made 312 days each year. Calculate the number of biscuits made each year. Give your answer in standard form.

c.) The company has 125 machines making the biscuits. Each machine operates 20 hours a day. Calculate the number of biscuits made by one machine each hour.​

Answer 1

a) To calculate the mean number of biscuits in one packet, we divide the total number of biscuits by the total number of packets:

Mean number of biscuits in one packet = total number of biscuits / total number of packets = (1.15 x 10^7) / (2.5 x 10^5) = 4.6 x 10^1 = 46 biscuits

b) To calculate the number of biscuits made each year, we multiply the number of biscuits made each day by the number of days in a year:

Number of biscuits made each year = number of biscuits made each day x number of days in a year = (1.15 x 10^7) x 312 = 3.588 x 10^9 biscuits

c) To calculate the number of biscuits made by one machine each hour, we multiply the number of biscuits made in a day by the number of hours one machine operates:

Number of biscuits made by one machine each hour = (number of biscuits made each day / number of machines) / number of hours one machine operates = (1.15 x 10^7 / 125) / 20 = 9.2 x 10^3 biscuits

Answer 2

a.) Mean number of biscuits in one packet

= Total biscuits made/Total packets produced

= (1.15 x 10^7) / (2.5 x 10^5)

= 46 biscuits

b.) Number of biscuits made each year

= Biscuits made per day * Number of working days per year

= (1.15 x 10^7) * 312

= 3.59 x 10^9 biscuits

c.) Number of biscuits made by one machine each hour

= Total biscuits made/(Number of machines * machine hours per day)

= (1.15 x 10^7)/ (125 * 20)

= 4600 biscuits