Question

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?

Answer 1

Betsy uses
`8(4)/(10)` gold to make the earrings

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 =
`(4)/(5) of 10 (1)/(2)`

X =
`(4)/(5) * (20 + 1)/(2)`

X =
`(4)/(5) * (21)/(2)`

X=
`(84)/(10)`

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

X=
`8(4)/(10)`