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

  • Context: MHB 
  • Thread starter Thread starter mathdad
  • Start date Start date
Click For Summary

Discussion Overview

The discussion revolves around a word problem involving savings by two individuals, Mark and Carlos. Participants explore how to set up equations based on the information provided, focusing on the relationship between their daily savings and the total difference in amounts saved over time.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • Mark saves $1.20 daily, while Carlos saves $0.30 more, totaling $1.50 daily.
  • One participant proposes the equation $1.20t + 11.40 = 1.50t$ to express the relationship between their savings over time.
  • Another participant confirms the equation and calculates the time $t$ as 38 days based on the rearranged equation.
  • One participant questions the clarity of the problem statement and expresses frustration with the wording of the savings amounts.
  • A participant reflects on their struggles with converting word problems into equations and shares personal challenges related to studying math.

Areas of Agreement / Disagreement

Participants generally agree on the setup of the equations and the calculation of time, but there is no consensus on the clarity of the problem statement or the correctness of the initial interpretations of the savings amounts.

Contextual Notes

Some participants express uncertainty about the phrasing of the problem and its impact on understanding, highlighting the challenges of translating word problems into mathematical equations.

Who May Find This Useful

Individuals interested in mathematical problem-solving, particularly in translating word problems into equations, may find this discussion relevant.

mathdad
Messages
1,280
Reaction score
0
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?
 
Mathematics news on Phys.org
$1.20t + 11.40 = 1.50t$ 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?
 

Similar threads

Replies
2
Views
5K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
29
Views
3K
Replies
3
Views
5K
Replies
67
Views
8K
  • · Replies 40 ·
2
Replies
40
Views
5K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K