IXL | Percents of numbers: word problems

For a company picnic, Nate ordered a box of fresh-baked gingerbread cookies and sugar cookies. The box included a total of 60 cookies, and 30% of them were gingerbread. How many gingerbread cookies did Nate get?

gingerbread cookies

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Learn with an example

question

There are 76 seats on a train. 75% of the seats are empty. How many empty seats are there on the train?

empty seats

key idea

A percent is 1 part out of 100.

1%
is
equal
to
1
100
or
0.01.

Proportions can be used to solve percent problems.

part

whole

percent

100

solution

Find 75% of 76.

The whole is 76.

The percent is 75%.

Let n represent the part.

Write a proportion to solve for n.

100

100n

75 · 76

100n

5,700

100n ÷ 100

5,700 ÷ 100

There are 57 empty seats on the train.

You could also find the answer by writing and solving an equation:

part	=	percentage of whole

n	=	75% · 76

n	=	0.75 · 76

n	=	57

There are 57 empty seats on the train.

Looking for more? Try these:

Lesson: Percents

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Teacher tools

Work it out

Not feeling ready yet? These can help:

H.6Percents of numbers and money amounts

L.3Multiply fractions by whole numbers: word problems

Lesson: Percents

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