Question

*18. the ratio of kangaroos to koalas was 9 to 5. if there were 414 kangaroos, how many koalas were there?
answer:
*20. complete the table

fraction	decimal	percent
a.	1.8	b.

Explanation:

Step1: Set up ratio proportion

Let $k$ = number of koalas.
$\frac{9}{5} = \frac{414}{k}$

Step2: Cross-multiply to solve for $k$

$9k = 414 \times 5$
$9k = 2070$

Step3: Isolate $k$

$k = \frac{2070}{9}$
$k = 230$

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Step1: Convert decimal to fraction

$1.8 = \frac{18}{10} = \frac{9}{5}$

Step2: Convert decimal to percent

$1.8 \times 100 = 180\%$

Answer:

1. 230
2. a. $\frac{9}{5}$

b. 180%