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Exercises Numbers, fractions and percents

Example 6.40 from Prealgebra, 6.5 Solve Proportions and their Applications

Solve Proportions and their Applications: example 6.40

Write each sentence as a proportion:

ⓐ $3$ is to $7$ as $15$ is to $35 .$
ⓑ $5$ hits in $8$ at bats is the same as $30$ hits in $\frac{hits}{at-bats} = \frac{hits}{at-bats}$ at-bats.
ⓒ $$1.50$ for $6$ ounces is equivalent to $$2.25$ for $9$ ounces.

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution

ⓐ

3 is to 7 as 15 is to 35.

Write as a proportion. $\frac{3}{7} = \frac{15}{35}$

ⓑ

5 hits in 8 at-bats is the same as 30 hits in 48 at-bats.

Write each fraction to compare hits to at-bats. $\frac{hits}{at-bats} = \frac{hits}{at-bats}$

Write as a proportion. $20$

ⓒ

$1.50 for 6 ounces is equivalent to $2.25 for 9 ounces.

Write each fraction to compare dollars to ounces. $\frac{$}{ounces} = \frac{$}{ounces}$

Write as a proportion. $\frac{1.50}{6} = \frac{2.25}{9}$

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Write each sentence as a proportion:

ⓐ $5$ is to $9$ as $20$ is to $36 .$
ⓑ $7$ hits in $11$ at-bats is the same as $28$ hits in $44$ at-bats.
ⓒ $$2.50$ for $8$ ounces is equivalent to $$3.75$ for $12$ ounces.

How did it go?

PreviousSolve Simple Interest Applications: example 6.39 Next Solve Proportions and their Applications: example 6.41

From Prealgebra (1st edition) by OpenStax (Rice University), section 6.5, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.