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]