... (all of the same size) for sale. He knows his customers will NOT be interested in buying less than 3/5 of a gallon or more than 4/5 of a gallon of oil at a time.
He doesn’t want to put the oil in 3/5 – gallon cans or 4/5 – gallon cans because this would not allow him to fill a whole number of cans to full capacity, and would leave him with some oil he would not be able to sell. Advise the retailer on the capacity of cans all of which he would be able to fill to full capacity, so that no oil is left
Mathematics - A retailer purchased 38 gallons of canola oil and wants to put the oil in smaller cans
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Answers (1)
Get a ruler in your hands. Measure things until you start to understand how a ruler works. Measure some stuff and figure out where the center is. Say you measure a book and it's 7/8" thick. You look at your ruler and see that every eighth is divided into two sixteenths, so obviously half of 7/8" is going to be 7/16". If you write that out you have 1/2 x 7/8 = 7/16. And you notice that 1/2 is divided into 2/4 and then into 4/8 and so on, so you can convert anything to anything by multiplying all the numbers on top and then all the numbers on bottom.
Other rulers are divided into 10 and 100 parts. But an inch is still an inch, so anything on one ruler can be translated to the other ruler. A half inch on one ruler is 5/10 or 50/100 on the other. An eighth inch is just 12.5 marks when you have 100 marks per inch. A metric ruler divides an inch into 25.4 parts, so a half inch would be 12.7 of those parts. Pretty simple, isn't it? Practice this a bit and people will think you went to wizard school.
So 38 gallons divided into 4/5 gallon cans would be 38/(4/5) = 5/4 x 38 = 47.5 cans, and divided into 3/5 gallon cans would be 38/(3/5) = 5/3 x 38 = 63.333 cans. So you can use any number of cans from 48 to 63. You are not given any information to choose any particular number.