Here's the problem as you posed it: : A woman goes to the bank to cash a check. The bank teller makes a mistake. She transposes the dollars and cents, and gives the woman way too much. On the way home, the woman loses $0.02 through a hole in the bottom of her purse. She now has exactly twice the face value of the original check. (We're assuming here that she had no money when she went to the bank.) : I already know the answer to this question. The answer is $32.65 (and $65.32), but that is not what I want here. What I want to know is how would you solve this problem without just trying numbers all day until you accidentally hit on the answer? Let D = correct number of dollars and C = correct number of cents So, if we work in cents: * 100D + C was the correct amount of money. * 100C + D was the amount given in error.
We can write: (100C + D) - 2 = 2(100D + C) which will simplify... 100C + D - 2 = 200D + 2C to this: 98C = 199D + 2 We have here two variables and only one equation, so we cannot find the solution directly. However, for the problem to make sense D and C must be two-digit integers (whole numbers) and this condition will enable us to solve it. We need to consider exactmultiples of 98 and of 199. * N.B. 2 x 98 is 196. 196 is three less than 199. Therefore every time we increase C by two, the next multiple of 199 will climb 3 further away. Just to illustrate this: * 2 x 98 = 196 = 1 x 199 - 3 * 4 x 98 = 392 = 2 x 199 - 6 * 6 x 98 = 588 = 3 x 199 - 9* 8 x 98 = 784 = 4 x 199 - 12
We want our multiple of 98 to be 2 higher than the nearest multiple of 199; so the previous multiple of 98 would have been 96 lower: C x 98 = D x 199 + 2 Subtract 98 from this: (C - 1) x 98 = D x 199 - 96Look back to the examples above, taking in the pattern, and you will appreciate that this equation will be satisfied when D = 96/3* = 32, and C - 1 = 64. Therefore D = 32 and C = 65; the amount was $32.65. That method was not of course a formula; it was more of an algorithm to speed up the process of guessing a bit. Thanks for the interesting question! *We were fortunate here that 96/3 turned out to be a whole number, bringing us swiftly to a solution.
The first step is to show the problem that needs solving.
I like mathematics, but I am bad at problem solving. Engineers are good at mathematics and problem solving.
(a) Explain the 6 steps in problem solving
Archimedes was killed by the Romans while solving a math problem.
Collaborative problem solving is a way of finding solutions to problems. In this kind of problem solving individuals come together to find a solution that is acceptable to them both.
Producing an idea or way of solving a problem by holding a spontaneous group discussion.
the concept of problem solving problems in algorithms are problem solving in computer, what is the algorithms for solving in problems, what is the rule o algorithms in problem solving, what are the steps to solving a problem with your computer and engineering steps for solving problems
sample of problem solving
problem solving in computer sciences is used to divide a large problem into atomic steps and solving all steps hierarchically.
Holistic problem solving is solving a problem from all possible aspects. This will cover all the details of the problem and the relevant solutions.
Some methods of teaching commerce include lectures, case studies, simulations, group discussions, and experiential learning opportunities. Teachers might also incorporate real-world examples, guest speakers, and hands-on projects to help students gain a practical understanding of commerce concepts. Providing opportunities for students to apply their knowledge in real-life scenarios can enhance their learning experience.
when to use problem solving method
when to use problem solving method
it is not always problem solving
A rule, or rules, meant to increase the likelihood of solving a problem; also using a formula to guide investigation.
In job performance what will be the answer for problem solving skills?
As an analyst anyway, the first step of problem solving is to troubleshoot it.