Question

You purchase a remote-controlled drone for d dollars. Your friend purchases a drone that costs $35 more than your drone. Your brother purchases a drone that costs three times as much as your friend's drone. Write and simplify an expression that represents the cost (in dollars) of your brother's drone.

Answer 1

`Brother = 105 + 3d`

Explanation:

Given

`Drone = d`

Friend = $35 more expensive than yours.

Brother = 3 * as much as your friend

Required

Write an expression for the cost of your brother's drone

I'll solve by analysing the question one sentence after the other

You:

`Drone = d`

Your friend:

Friend = $35 more expensive than yours.

This means

`Friend = 35 + You`

Substitute d for You

`Friend = 35 + d`

Your brother:

Brother = 3 * as much as your friend

This means:

`Brother = 3 * Friend`

Substitute 35 + d for Friend

`Brother = 3 * (35 + d)`

Open bracket

`Brother = 3 * 35 + 3*d`

`Brother = 105 + 3d`