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I have a bag containing red, green, blue, and white marbles and the ratio $\text{red}:\text{green}:\text{blue}:\text{white}$ is $2:2:5:7$. I have 304 marbles. How many blue marbles do I have?

Respuesta :

tqiu

Answer:

95

Step-by-step explanation:

Let 2x be how many red/green marbles there are,

let 5x be how many blue marbles there are, and

let 7x be how many white marbles there are.

2x + 2x + 5x + 7x = 304

16x = 304

x = 19

As 5x is defined as how many blue marbles there are, we could just plug x for 19:

5*19 = 95

I hope this helped, and if it did please consider giving me brainliest :)

MindTrickery

Answer:

95

Step-by-step explanation:

Let r, g, b, w be the number of red, green, blue, and white marbles, respectively. Since r : g : b : w = 2 : 2 : 5 : 7, there is some value of x for which r = 2 x, g = 2x, b = 5x, and w = 7x. Then, we have

                                      304 = r + g + b + w

                                      = (2x) + (2x) + (5x) + (7x)  

                                                              = 16x

Dividing both sides of 16x = 304 by 16 gives x=19. This gives us r = 38, g = 38, b = 95, w = 133, so I have 95 blue marbles.

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