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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.

Respuesta :

MrRoyal

Answer:

[tex]Brother = 105 + 3d[/tex]

Step-by-step explanation:

Given

[tex]Drone = d[/tex]

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:

[tex]Drone = d[/tex]

Your friend:

Friend = $35 more expensive than yours.

This means

[tex]Friend = 35 + You[/tex]

Substitute d for You

[tex]Friend = 35 + d[/tex]

Your brother:

Brother = 3 * as much as your friend

This means:

[tex]Brother = 3 * Friend[/tex]

Substitute 35 + d for Friend

[tex]Brother = 3 * (35 + d)[/tex]

Open bracket

[tex]Brother = 3 * 35 + 3*d[/tex]

[tex]Brother = 105 + 3d[/tex]

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