Question

Dam, Beth, and Carly walked a total of 10 miles collectively. Beth walked twice as far as Adam, and she walked a half a mile further than Carly. If a = number of miles Adam walks, b = number of miles Beth walks, and c = number of miles Carly walks, which equation is NOT true for this situation?

A) b = 2a


B) b = c + 0.5


C) 3a + c = 10


D) a + 2c = 10.5

Answer 1

9514 1404 393

Answer:

D) a + 2c = 10.5

Explanation:

The given relations can be written using the equations ...

a +b +c = 10

b = 2a

b = c +0.5

Substituting the second equation into the first, we get ...

a +2a +c = 10

3a +c = 10 . . . . . . . . simplified

The equations in bold above are ones that apply in this situation.

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If we substitute the third equation into the first, we get ...

a + (c +0.5) + c = 10

a +2c = 9.5 . . . . . . . . . . subtract 0.5 from both sides, simplify

Note that this does not match the equation of answer choice D, which is NOT true for this situation.