Video: Solving Word Problems Using the Four Operations

Chloe and Mason have been organizing their comics. Chloe puts 14 comics on each shelf of her bookcase and fills 6 shelves. Mason puts 17 comics on each shelf of his bookcase and fills 5 shelves. Who has more comics? How many more comics does she/he have?

03:30

Video Transcript

Chloe and Mason have been organizing their comics. Chloe puts 14 comics on each shelf of her bookcase and fills six shelves. Mason puts 17 comics on each self of his bookcase and fills five shelves. Who has more comics? How many more does she or he have?

In this problem, we need to compare two values. That’s the number of comics that Chloe has and the number of comics that Mason has. We’re told that Chloe puts 14 comics on each shelf of her bookcase. And she manages to fill six shelves. This means that we can find out the total number of comics that Chloe has by finding the answer to six lots of 14.

We’re then given some information about Mason’s comic collection. We can see that Mason fills less shelves than Chloe. He only fills five shelves. But he manages to put more comics on each shelf. He puts 17 comics on each of his five shelves. So to calculate the number of comics that Mason has altogether, we need to find the answer to five lots of 17. We can’t just see which of these calculations is larger just by looking at them. We need to find the answers.

First, let’s calculate how many comics Chloe has. So we need to find the answer to 14 multiplied by six. Four multiplied by six is 24, and 10 multiplied by six equals 60. And to find the overall answer, we need to add these two parts together. Four ones plus zero ones equals four ones. And two tens plus six tens equals eight tens. And so we can say Chloe has 84 comics.

Now we can calculate how many comics Mason has. And to do this, we need to calculate the answer to 17 multiplied by five or five times 17. Seven lots of five are 35, and 10 lots of five are 50. Again, to find the overall answer, we need to add these two parts together. Five ones plus zero ones equals five ones. And three tens plus five tens gives us a total of eight tens. And so we can say Mason has 85 comics.

Now we have all the information we need to be able to answer the question. Who has more comics? We know that 85 is greater than 84. So the child who has most comics is Mason. How many more comics does she or he have? Well, we know that 85 is only one more than 84. So Mason has one more comic.

We were told that Chloe put 14 comics on each of her six shelves. So by working out the answer to 14 multiplied by six, we could find out that Chloe has 84 comics. We were also told that Mason put 17 comics on each of his five shelves. And so by finding the answer to 17 multiplied by five, we could then find that Mason has 85 comics altogether. This allowed us to solve our problem. Mason has more comics, and he has one more comic than Chloe.

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