Last weeks answer is
The number of children = number of different combinations of two different flavours.
1,2 2,3 3,4 4,5 5,6 6,7 7,8 8,9
1,3 2,4 3,5 4,6 5,7 6,8 7,9
1,4 2,5 3,6 4,7 5,8 6,9
1,5 2,6 3,7 4,8 5,9
1,6 2,7 3,8 4,9
1,7 2,8 3,9
1,8 2,9
1,9
36 = 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 There are 36 children.
This week I am posing 2 problems.
The first one is:
Place the digits 9,4, 7, 6, 5, 1, in the boxes in order to get the largest result.
[ ][ ] x [ ][ ] + [ ] x [ ] = ?
The second problem is:
Two frogs are hopping along a path one lily pad wide, going in the same direction. There are 18 lily pads and one frog jumps 3 lily pads at a time, the other jumps two lily pads at a time. If the frogs leave the shore one after the other, how many lily pads will be jumped on by both frogs?
Happy Problem Solving!
To solve the frog problem.
ReplyDeleteThe first thing I did was draw 18 lilypads in a line.then Then I used two different shapes to represent the two frogs and drew them on the lilypads that they jumped on. I could see that three of the lilypads had both shapes on them. So I think the answer is three!
I won't be here next week so happy problem solving everyone!
From Mia!!!
Hi,
ReplyDeleteFor the first problem I chose the biggest digits for the the 2 2-digit multiplication. They were 9, 7, 6, and 5. I put them like this: 95x76. I didn't do 96x75 because then you'd get 20 less. I put the 1 in the next box.This is because it was the smallest number. I then put the remaining 4 at the end.
My answer for the second problem is 3 because the common factors of 3 and 2 between 1 and 18 are 6, 12 and 18.
From Alex.
For the 1st problem I tried different doing 97x65 on the calculator and it = 6305.Then I tried 96x75 and it = 7200.Then I tried 95x76 and I got 7220.I made sure that no other combinations of the highest 4 numbers would make a higher answer and they didn't.Then I added 1 instead of 4 because 7221x4 = more then 7224x1. So my answer is 95x76+1x4.By the way, the answer to my problem is 28884
ReplyDeleteMy answer to the 2nd problem is 3. I worked it out by drawing the lilypads and then I drew the frogs on the lilypads where they hopped.
From Billie
For the frog problem:
ReplyDeleteThe first frog jumps on lilypads 3,6,9,12,15 and 18. The second frog jumps on lilypads 2,4,6,8,10,12,14,16,and 18. The lilypads that both frogs jump on are 6,12 and 18.
From Kate
This is Sam here.I think the answer is 9 for the one that jumps 2.And 6 for the one that jumps 3.
ReplyDeleteSam