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 = [tex]\frac{\$0.95}{3}[/tex]
Cost price of x apples = [tex]\frac{\$0.95}{3}\times x[/tex]
She sold 3/4 of them at $.45 each.
Number of apples sold = [tex]\frac{3x}{4}[/tex]
Sell price or money earned by selling apples = [tex]\frac{3x}{4}\times \$0.45[/tex]
Profit made by Hannah = $0.75
Profit = Sell price - Cost price
[tex]\frac{3x}{4}\times \$0.45-\frac{\$0.95}{3}\times x=\$0.75[/tex]
[tex]\frac{3x}{4}\times \$0.45-\frac{\$0.95 x}{3}=\$0.75[/tex]
[tex]x\times (\frac{3}{4}\times \$0.45-\frac{\$0.95 }{3})=\$0.75[/tex]
[tex]x=\frac{\$0.75}{(\frac{3}{4}\times \$0.45-\frac{\$0.95 }{3})}=36[/tex]
Numbers of apples kept by Hannah:
=Total apples - Number of apples sold = [tex]36-36\times \frac{3}{4}=9[/tex]
Numbers of apples kept by Hannah was 9.
