Question

Margarite is building 3 prototypes of a robot she designed. Each robot includes a body and a remote control. She needs 450 inches of wire for each body and 120 inches for each remote control. In addition, she is going to build one master remote to run all three robots at once. The master remote will require 380 inches of wire. Write and evaluate a numerical expression to find the total length of wire she will need. Write an expression for the amount of wire needed for a robot.

Answer 1

The total length of wire she needed is 2090 inches of wire

The expression for the amount of wire needed for a robot is: Amount of wire needed for 1 robot = length of wire for body + length of wire for remote control

Solution:

Number of robots = 3

Given that, Each robot includes a body and a remote control

Length of wire for each body = 450 inches

Length of wire for each remote control = 120 inches

Also, she is going to build one master remote

Length of wire for master remote = 380 inches wire

To find: Total length of wire needed

Total length = Number of robots(Length of wire for each body + Length of wire for each remote control ) + Length of wire for master remote

Thus we get,

$\text{Total length} = 3(450+120) + 380\\\\\text{Total length} = 3(570) + 380\\\\\text{Total length} = 1710 + 380 = 2090$

Thus the total length of wire she needed is 2090 inches of wire

Write an expression for the amount of wire needed for a robot

Each robot includes a body and a remote control

Amount of wire needed for 1 robot = length of wire for body + length of wire for remote control

Amount of wire needed for 1 robot = 450 + 120 = 570

Thus one robot requires 570 inches of wire