How much did Mark save if Carlos saved a total of 11.40 more than Mark?

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SUMMARY

The discussion focuses on a mathematical problem involving savings by Mark and Carlos, where Mark saves $1.20 daily and Carlos saves $1.50 daily, which is $0.30 more than Mark. The key equation derived is 1.20t + 11.40 = 1.50t, leading to the conclusion that Mark saved a total of $45.60 after 38 days. The participants emphasize the importance of accurately translating word problems into equations, highlighting common struggles with this skill.

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mathdad
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Mark and carlos started saving money at the same time. Mark saved 1.20 daily and Carlos saved 0.30 more than Mark each day. How much did Mark save if Carlos saved a total of 11.40 more than Mark?

My Effort:

Mark saved 1.20 daily.

Carlos saved 1.50 daily.

Let M = total saved by Mark.

1.20/1.50 = M/(11.40)

Solve for M.

Is this correct?
 
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$1.20t + 11.40 = 1.50t$ where $t$ is the number of days ...

solve for $t$, then determine how much Carlos saved
 
skeeter said:
$1.20t + 11.40 = 1.50t$ where $t$ is the number of days ...

solve for $t$, then determine how much Carlos saved

Your Latex is blocked by the letters.

Do you mean 1.20t + 11.40 = 1.50t?

- - - Updated - - -


1.20t + 11.40 = 1.50t

1.20t - 1.50t = -11.40

-0.3t = -11.40

t = -11.40/-0.3

t = 38

 
Your calculation for time is correct ... now answer the question stated in the problem.
 
Mark has saved 1.20 * 38 = 45.60.
 
RTCNTC said:
Mark and carlos started saving money at the same time.
Mark saved 1.20 daily and Carlos saved 0.30 more than Mark each day.
How much did Mark save if Carlos saved a total of 11.40 more than Mark?

My Effort:
Mark saved 1.20 daily.
Carlos saved 1.50 daily.
Let M = total saved by Mark.
1.20/1.50 = M/(11.40)
Solve for M. Is this correct?
So that results in M = 9.12
You can tell right away that's not correct.
So why lose your time and ask?

Regarding this sentence in problem:
"Mark saved 1.20 daily and Carlos saved 0.30 more than Mark each day."
Why d'heck did whoever made up that problem not simply say:
"Mark saved 1.20 daily and Carlos saved 1.50 daily."?
Many math teachers suffer from diarrhea of the mouth!
 
skeeter said:
Your calculation for time is correct ... now answer the question stated in the problem.

This has been my greatest struggle with math. It is not easy to create an equation from written information, as you can see. I need more practice converting word problems to equations.

I like the challenge but working 40 hours per week with only two days to play with does not buy me enough time to properly study math. I never give up! What else can take the place of math? It's not like I'm super popular with females. Know what I mean?
 

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