Respuesta :
Answer:
1. Original amount of bicycle and helmet = $56.
2. Amount of money earned by the friend = $28.
Step-by-step explanation:
We are told that my friend sells me a bicycle for $63 and a helmet for $21 . The total cost is 150% of what my friend spent originally.
1. Let x be the original price of bicycle and helmet spent by my friend.
Amount spent by me on both helmet and bicycle will be [tex]21+63=84[/tex]. We need to find x such that 150% of x equals 84. We can set this information in an equation as:
[tex]\frac{150}{100}\times x=84[/tex]
[tex]1.50 x=84[/tex]
[tex]x=\frac{84}{1.50}[/tex]
[tex]x=56[/tex]
Therefore, my friend spent $56 on bicycle and helmet originally.
2. To find the amount of money earned by friend we will subtract amount spent by friend originally from amount spent by me on both items.
[tex]\text{ Amount earned by my friend}=84-56=28[/tex]
Therefore, my friend earned an amount of $28 by selling the bicycle and helmet to me.
