Question

Your friend sells you a bicycle for ?$63 and a helmet for ?$21 . The total cost is 150 ?% of what your friend spent originally. How much did your friend spend? originally? How much money did your friend earn by selling the bicycle and helmet to? you?

Answer 1

1. Original amount of bicycle and helmet = $56.

2. Amount of money earned by the friend = $28.

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
`21+63=84`. We need to find x such that 150% of x equals 84. We can set this information in an equation as:

`(150)/(100)* x=84`

`1.50 x=84`

`x=(84)/(1.50)`

`x=56`

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.

`\text{ Amount earned by my friend}=84-56=28`

Therefore, my friend earned an amount of $28 by selling the bicycle and helmet to me.