IXL | Multi-step word problems: multiplicative comparison

The school library at Pageville Elementary has 1,272 books. All of the books are either paperback or hardcover. The library has 5 times as many paperback books as hardcover books.

How many paperback books does the library have?

paperback books

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Learn with an example

question

Jasper loves to watch the fish at the zoo's aquariums. There are 153 different species of fish in the aquariums. The saltwater aquarium contains twice as many different species of fish as the freshwater aquarium.

How many different species of fish does the saltwater aquarium contain?

species of fish

solution

You need to find how many species of fish are in the saltwater aquarium. Start with the information in the problem.

There are 153 different species altogether.
The saltwater aquarium has twice as many different species of fish as the freshwater aquarium.

You can use a diagram to model the problem. The saltwater aquarium has twice as many different species of fish as the freshwater aquarium. So, draw 1 box to represent the number of species in the freshwater aquarium and 2 boxes to represent the number of species in the saltwater aquarium.

freshwater

saltwater

There are 3 boxes in the diagram in all. There are 153 species altogether. So, each box represents

153

species. Divide.

–

Each box represents 51 species. There are 2 boxes for species in the saltwater aquarium. Multiply to find the number of different species in the saltwater aquarium.

There are 102 different species of fish in the saltwater aquarium.

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Divide 4-digit numbers by 1-digit numbers: without remainders

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