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$280$ meals are to be prepared by three chefs. Every chef has its own speed but the combined output of all three is modelled by the equation $8 x + 4 x + 2 x = 280$ . If $x$ is a positive integer, which of the following could $8 x$ represent in the equation?

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The total meal output by the slowest chef, who made

40

meals.

The total meal output by the fastest chef, who made

160

meals.

The total meal output by the fastest chef, who made

80

meals.

The different between the output between the slowest and fastest chef, which would be

120

meals.

answer is B.

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Detailed Solution

Given equation,

8 x + 4 x + 2 x = 280

.
Simplifying,

14 x = 280

⇒

x = 20

Then

x

20

meals.
Then,

8 x = 8 \times 20

= 160

meals.
Hence, the correct option is 2.

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280 meals are to be prepared by three chefs. Every chef has its own speed but the combined output of all three is modelled by the equation 8x+4x+2x=280. If x is a positive integer, which of the following could 8x represent in the equation?

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$280$ meals are to be prepared by three chefs. Every chef has its own speed but the combined output of all three is modelled by the equation $8 x + 4 x + 2 x = 280$ . If $x$ is a positive integer, which of the following could $8 x$ represent in the equation?