Question

Hanna is recovering hundreds of treasure chests from an ancient shipwreck. She is able to recover 888 chests every 444 hours.
Complete the table using equivalent ratios.
Treasure chests Hours
888 444
666
101010

Answer 1

Step-by-step explanation:

the ratio given here is following the pattern of 2 & 1

therefore,

888 444

666 333

101010 555

Answer 2

Answer:

x=1332

y=50505

Step-by-step explanation:

Given:

Hundreds of treasure chests are being retrieved by Hanna from an old shipwreck. Every 444 hours, she can recover 888 chests.

To find:

Equivalent ratio

Solution:

The specified ratios will first be converted into fractions. Then, by transforming them into like fractions, we may compare them. To accomplish this, we can try to equalise the denominators of the two fractions. Like fractions are equal, hence the given ratios are similar if they result in like fractions.

We must compare two ratios in order to determine if they are equal. To accomplish this, we must first write the ratios as fractions before comparing them by changing the fractions to similar ones. converting both of these ratios in a method that ensures the fractions are equal. We can argue that the ratios are equivalent if these like fractions are equal.

Treasure chest                                  Hours

888                                                       444    

x(let)                                                      666

$\frac{888}{x} =\frac{444}{666} \\x=\frac{888\times666}{444} \\x=\frac{591408}{444} \\x=1332$

Treasure chest                                   Hours

888                                                       444

1332                                                      666

101010                                                    y(let)

$\frac{1332}{101010} =\frac{666}{y} \\y=\frac{101010\times666}{1332} \\y=50505$

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