Thanks to all the good sports who participate in the quizzes I present from time to time & a special thanks to those who send me quizzes.

The following 2-part quiz is from Graham Ledger's website.

Please let me know how you work the problems. I will post all correct answers or alternatively will send the solution privately to anyone who requests it if no one figures it out.

**Part 1**

**Part 2**

A bat & a ball cost $1.10. The bat costs one dollar more than the ball. How much does the ball cost?

#1 = 5 minute

ReplyDelete#2= $1--------------------------$.10 is too easy.

#1 correct

DeletePlease work #2 again – your answer of $1 for the bat & 10 cents for the ball does not balance. One dollar more than 10 cents is $1.10, $1.10 + 10 cents is $1.20. But it is stipulated that the bat & ball cost $1.10 total. You are close.

#2 defies my logic, I will guess the ball cost $0.20

DeleteOkay the baseball part is easy..it cost 5 cents with the bat costing 1.05

ReplyDeleteThe other one is tough....but I am going to say 5 minutes

Okay...I think I got those right...can't say how I did the work although the bat and ball was very simple math which I did in my head.

The widget problem was tougher but again it wasn't such a math issue as a simple deduction issue...each machine takes 5 minutes to make a widget once you figure that out it's easy

HowK keeps his near perfect record intact.

Deleteok, too easy, or else I'm missing something.

ReplyDeletePart A: 5 minutes. Each machine makes 1 in 5 minutes. If 5 machines makes 5 in 5 minutes, then 100 machines will produce the 100 in the same 5 minutes

Part B: The ball costs a nickel. Subtract the additional $1 the bat costs and you are left with $0.10. Divide that by 2 = 5 cents.

Tell me I'm a simpleton and I missed something.

Part B shaky - the ball costs a nickel. The bat does not cost $1.00

DeleteThe bat costs a dollar more than the ball. If you subtract the $1, you are left with the 10 cents. Divide that by 2 and you get 5 cents. So the ball is 5 cents and the bat $1.05.

DeletePart 1. 5 minutes

ReplyDeletePart 2. 5 cents

I got the answer in 30 seconds. Is it correct?

I got the same answers as JnK.

ReplyDeleteA. My guess is assuming the machine does not speed up when in production ( non union !) 1 minute.

ReplyDeleteB. The ball is 5 cents and the bat is $1.05

Don’t ask me to explain it. Midway through the 8th grade I made a deal with my math teacher that if she would pass me, I would not cause her anymore trouble and actually do my homework. She agreed and I avoided summer school. In other words, a win-win!

OK for my 2nd attempt I’ll go with 5 minutes

DeletePart 1: 5 minutes. You're multiplying the number of machines, which it turn multiplies the number of output widgets. It doesn't alter the time it takes to make the widgets.

ReplyDeletePart 2: $0.05. The bat has to be $1.01 or more if it's going to be a dollar more than the ball, but less than $1.09 if it's going to add up to $1.10. $1.05 for the bat and $0.05 is the only way to make this work.

Bravo. The answers are not only correct but the explanations are well reasoned & precisely stated – the same as last time. Very impressive.

DeletePart 1 Answer = 5 minutes

ReplyDeletePart 2 answer = 5 cents

Took the boys 5 seconds to figure it out - duh! for me!

The writer of the subject quiz provides this answer:

ReplyDeletePart 1: Each machine takes 5 minutes to make its widget. Each of the 100 machines will have finished making its widget in 5 minutes.

Part 2: The ball costs 5 cents, not 10 cents. One dollar more than 10 cents is $1.10. $1.10 + 10 cents is $1.20. One dollar more than 5 cents is $1.05. The sum of which is $1.10.

For Part 2, I used the old word problem method:

Let X = the cost of the ball & Y = the cost of the bat

X + Y = 1.10

Y – 1.00 = X

substitute for X gives Y – 1.00 + Y = 1.10

2Y = 2.10 or Y = $1.05 & the ball is $0.05 or 5 cents

Here it is:

ReplyDeletePart 1......You have 20 times as many machines which means they can make 20 times as many widgets in 5 minutes. So the answer is 5.minutes.

Part 2......Let b be the ball, then b+(b+1)=1.10

2b = 1.10-1

b =.10/2 = .05 or 5 cents