Video: AQA GCSE Mathematics Foundation Tier Pack 3 • Paper 1 • Question 9

Napkins come in packs of 8. A restaurant expects 95 customers on a particular evening. Every customer needs one napkin. How many packs of napkins does the restaurant need to buy for this particular evening?

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Video Transcript

Napkins come in packs of eight. A restaurant expects 95 customers on a particular evening. Every customer needs one napkin. How many packs of napkins does the restaurant need to buy for this particular evening?

As the napkins come in packs of eight, one way to approach this problem would be to consider our eight times table or the multiples of eight. We need to find the first multiple of eight that is greater than 95. 10 multiplied by eight is equal to 80. Therefore, 10 packs of napkins would not be enough. 11 multiplied by eight is equal to 88. Therefore, 11 packs would also not be enough. 12 multiplied by eight is equal to 96. As 96 is greater than 95, the restaurant needs to buy 12 packs of napkins to satisfy the demand of 95 customers.

An alternative method, which would be useful if we had a larger number of customers, would be to divide the number of customers by the number of napkins in each pack. In this case, this would involve dividing 95 by eight. We could do this using the short division bus stop method.

As we already know that eight doesn’t go exactly into 95, it is worth adding the decimal point and some zeros afterwards. Nine divided by eight is equal to one remainder one. We put a one on the answer line, and we carry the remainder. 15 divided by eight is equal to one remainder seven. Once again, we put a one on the answer line and carry the remainder. At this stage, we must make sure that we put a decimal point in our answer.

Our next step is to divide 70 by eight. This is equal to eight remainder six. Eight multiplied by eight is equal to 64, and the difference between 64 and 70 is six. 60 divided by eight is equal to seven remainder four, as seven multiplied by eight equals 56, and the difference between 56 and 60 is four. Finally, 40 divided by eight is equal to five. This means that 95 divided by eight is equal to 11.875.

As we can only buy the napkins in packs of eight, we can’t buy part of a pack. This means, once again, we need to buy 12 packs of napkins. This confirms that our answer using our first method was correct.

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