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

Answer:

Numbers of apples kept by Hannah was 9.

Step-by-step explanation:

Let the numbers of apple bought be x.

Hannah bought three apples for $0.95

Cost of an apples = $\frac{\ 0.95}{3}$

Cost price of x apples = $\frac{\ 0.95}{3}\times x$

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

Number of apples sold = $\frac{3x}{4}$

Sell price or money earned by selling apples =  $\frac{3x}{4}\times \ 0.45$

Profit made by Hannah = $0.75

Profit = Sell price - Cost price

$\frac{3x}{4}\times \ 0.45-\frac{\ 0.95}{3}\times x=\ 0.75$

$\frac{3x}{4}\times \ 0.45-\frac{\ 0.95 x}{3}=\ 0.75$

$x\times (\frac{3}{4}\times \ 0.45-\frac{\ 0.95 }{3})=\ 0.75$

$x=\frac{\ 0.75}{(\frac{3}{4}\times \ 0.45-\frac{\ 0.95 }{3})}=36$

Numbers of apples kept by Hannah:

=Total apples - Number of apples sold = $36-36\times \frac{3}{4}=9$

Numbers of apples kept by Hannah was 9.