Betsy has ten and one half ounces of gold and and uses four fifths of it to make earrings. How much gold does she use to make the earrings?

Respuesta :

Answer:

Betsy uses  [tex] 8\frac{4}{10} [/tex] gold to make the earrings

Step-by-step explanation:

Given:

Amount of gold with Betsy =  ten and one half ounces

Amount of gold Betsy used to make earrings =  four fifths  

To Find:

How much gold is used by Betsy to make earrings = ?

Solution:

Let the quantity of gold used by Betsy to make earring be X

Then

X  =   four fifths  of  ten and one half

X  = [tex] \frac{4}{5} of 10 \frac{1}{2} [/tex]

X = [tex]\frac{4}{5} \times \frac{20 + 1}{2}[/tex]

X = [tex] \frac{4}{5} \times \frac{21}{2}[/tex]

X=  [tex] \frac{84}{10}[/tex]

Reducing the fraction to lower terms and converting into mixed fraction we get,

X=  [tex] 8\frac{4}{10}[/tex]

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