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Small boxes contain DVDs, and large boxes contain one gaming machine. Three boxes of gaming machines and a box of DVDs weight 48 pounds. Three boxes of gaming machines and five boxes of DVDs weight 72 pounds. How much does each box weigh?

DVD box weighs 14 pounds and gaming machine box weighs 6 pounds
DVD box weighs 6 pounds and gaming machine box weighs 14 pounds
DVD box weighs 40 pounds and gaming machine box weighs 0 pounds
DVD box weighs 8 pounds and gaming machine box weighs 24 pounds

Respuesta :

swaggernaut
DVD weighs 6lbs and game machine weighs 14lbs, so in this case A

in my mind this is what i did...

3(gameMachines) + 5(DVD) = 72lbs
3(gameMachine) + 1 (DVD) = 48lbs

when you subtract, since there is the same number of game machines, they cancel out and your left with
4(DVD) = 24
1 DVD = 6

then just fill in DVD in one of the equations to get the weight of gameMachine
3(gameMachines) + 5(6) = 72lbs
3(gameMachines) = 42
gameMachine = 14

Answer:

DVD box weighs 6 pounds and gaming machine box weighs 14 pounds

Step-by-step explanation:

Let the weight of DVD box be x.

Let the weight of gaming machine box be y.

Three boxes of gaming machines and a box of DVDs weight 48 pounds.

Equation becomes:

[tex]x+3y=48[/tex]   .... (1)

Three boxes of gaming machines and five boxes of DVDs weight 72 pounds.

Equation becomes:

[tex]5x+3y=72[/tex]     ....(2)

Now subtracting (1) from (2) we get;

[tex]4x=24[/tex]

x = 6

And

[tex]x+3y=48[/tex]

So, [tex]6+3y=48[/tex]

=> [tex]3y=48-6[/tex]

=> [tex]3y=42[/tex]

y = 14

Hence, the weight of DVD box is 6 pounds and weight of gaming machine box is 14 pounds.

Option B is correct.

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