Question

Stan ran 4 and StartFraction 7 Over 10 EndFraction miles, which was 1 and StartFraction 3 Over 10 EndFraction fewer miles than Matt ran. Four students wrote and solved equations to find m, the number of miles that Matt ran. Which student wrote and solved the equation correctly? Molly's work: m + 1 and StartFraction 3 Over 10 EndFraction = 4 and StartFraction 7 Over 10 EndFraction. M = 5 and StartFraction 10 Over 10 EndFraction = 6. Emma's work: m minus 1 and StartFraction 3 Over 10 EndFraction = 4 and StartFraction 7 Over 10 EndFraction. M = 3 and StartFraction 10 Over 10 EndFraction = 4. Alysa's work: m + 1 and StartFraction 3 Over 10 EndFraction = 4 and StartFraction 7 Over 10 EndFraction. M = 3 and StartFraction 4 Over 10 EndFraction = 3 and two-fifths. Maddie's work: m minus 1 and StartFraction 3 Over 10 EndFraction = 4 and StartFraction 7 Over 10 EndFraction. M = 5 and StartFraction 10 Over 10 EndFraction = 6

Answer 1

The answer is D

Explanation:

Maddie’s work

Answer 2

Maddie's work is correct.

Explanation:

The equation that can be formed using the provided data is:

`S=M-1(3)/(10)`

And it is provided that,
`S=4(7)/(10)`

Then the equation to solve for M is:

`4(7)/(10)=M-1(3)/(10)`

Solve for M as follows:

`4(7)/(10)=M-1(3)/(10)`

`(47)/(10)=M-(13)/(10)\\\\M=(47)/(10)+(13)/(10)\\\\M=(47+13)/(10)\\\\M=(60)/(10)\\\\M=6`

So, Matt ran 6 miles.

Maddie's work is correct.