1. Jenny is organising a barbecue. There are 30 bread rolls in a pack. There are 16 sausages in a pack. She needs exactly the same number of bread rolls as sausages. What is the smallest number of each pack she must buy?

2. Tom, Sam and Matt are doing a show by counting drum beats .They decided to donate the collecting money for the poor children for their studies. Tom hits a snare drum every 2 beats. Sam hits a kettle drum every 5 beats. Matt hits a bass drum every 8 beats. Tom, Sam and Matt start by hitting their drums at the same time. How many beats is it before Tom, Sam and Matt next hit their drums at the same time? What value you can see in their act


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Step-by-step explanation:

First find the LCM of 30, 16. This will give the common number of sausages and bread rolls

30 = 2 *  3 * 5

16 = 2 * 2 * 2 * 2

LCM = 2* 2 * 2 * 2 * 3 * 5 = 240

240 sausages and 240 bread rolls

Number of Sausage pack = 240 ÷ number of sausages in a pack

                                           = 240 ÷ 16

                                           = 15

Number of bread roll pack = 240 ÷ number of bread rolls in a pack

                                           = 240 ÷ 30

                                           = 8

Jenny should buy 8 pack of bread rolls and 15 pack of sausage

2)  LCM of  2 , 5 , 8 = 40

Tom, Sam, Matt  will hit their drum same at 40 minutes

Number of beats hit by Tom before reaching 40 minutes = 40/2 =20 hits

Number of beats hit by Sam before reaching 40 minutes = 40/5 = 8 hits

Number of beats hit by Matt before reaching 40 minutes = 40/8 = 5 hits

18

step-by-step explanation:

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