Puppy Math

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Solve the hungry puppy story!

           

Gabe's puppy was growing fast. In the first five days since he got it, it had eaten 100 dog biscuits.

If each of those days it had eaten 6 more than the previous day, how many biscuits had the puppy eaten on the first day?

Some interesting ways people described their thinking:

"My mom and I sorted out different numbers and we made a chart, and we tried

three times. And the last time we did it, we got 100 ..."  Alexander T.

This is how I thought about each day:

1. x

2. x + 6

3. x + 6 + 6

4. x + 6 + 6 + 6

5. x + 6 + 6 + 6 + 6

Then I add each total for each day together.  Gus V.

"I started at 12 and that didn't work and it was too high so I went down to 11 and that didn't work, but I was getting closer so I kept going and finally I got it."  Paige D.

I knew the range was from 2-12 so I picked a number near the middle and I was right.  Rachel B.

First I figured out how many biscuits the puppy would have eaten if he had eaten the same amount each day. That number was 20. Then I figured if I put twenty for the middle day (day 3)and subtracted six each for day 2 and one and added six each for day 4 and 5 that it would equal 100. Then I checked it on my calculator.  Ari R.

Share your answer and explain how you figured it out.

Your Name:

Include your email address if you would like a response to your work:

How many biscuits had the puppy eaten on the first day? Explain your thinking.

 

Here's who has answered correctly so far:

Andy L.          Miles. R.          Carolyn P.

Andrea L.     Taylor R.          Cleo A.

Forrest T.        Carlos H.         Sean R.

Ethan B.         Abby L.           Emily B.

Will D.             Mrs. Singer     Alexander T.

Gus V.            Paige D.          Lily C-I

Rachel B.      Rian N.             Katie K.

Andrew W.   Jandro A.       Jessica G.

Kate H.           Moria S.           Elizabeth W.

Sam S.           Ari R.                 Jean M.

Nathan G.    Allana R.         Harry W.

Jesus M.         Erin M. S.

Gabe S.        Kyla W.            Jesse P.

Peter Q.        Anna E.           Chelsea K.

Matthew K.  Elizabeth W.    Nicholas V.P.

Riley D.          Margaret D.

Home Summer Math Wednesday Math Nature Math Sports Math Math by Students All About 100 Seasonal Math Number Puzzles Parents' Page Glossary Links