Question

Hannah bought some apples of the price of three apples for $.95 she sold 3/4 of them at $.45 each making a profit of $.75 how many apples did Hannah keep

Answer 1

Numbers of apples kept by Hannah was 9.

Explanation:

Let the numbers of apple bought be x.

Hannah bought three apples for $0.95

Cost of an apples =
`(\$0.95)/(3)`

Cost price of x apples =
`(\$0.95)/(3)* x`

She sold 3/4 of them at $.45 each.

Number of apples sold =
`(3x)/(4)`

Sell price or money earned by selling apples =
`(3x)/(4)* \$0.45`

Profit made by Hannah = $0.75

Profit = Sell price - Cost price

`(3x)/(4)* \$0.45-(\$0.95)/(3)* x=\$0.75`

`(3x)/(4)* \$0.45-(\$0.95 x)/(3)=\$0.75`

`x* ((3)/(4)* \$0.45-(\$0.95 )/(3))=\$0.75`

`x=(\$0.75)/(((3)/(4)* \$0.45-(\$0.95 )/(3)))=36`

Numbers of apples kept by Hannah:

=Total apples - Number of apples sold =
`36-36* (3)/(4)=9`

Numbers of apples kept by Hannah was 9.