Tutor MathsGuru: Ask me for your burning Maths questions!

[firebird]

Dear maths guru


Good morning.

Please help me on this question:

Harry and Sally were at a party. Harry shook hands with 4 times as many boys as girls while Sally shook hands with 5 times as many boys as girls.
How many boys and how many girls were there at the party?

Thank you.
Firebird

[Dharma]

firebird:

Dear maths guru


Good morning.

Please help me on this question:

Harry and Sally were at a party. Harry shook hands with 4 times as many boys as girls while Sally shook hands with 5 times as many boys as girls.
How many boys and how many girls were there at the party?

Thank you.
Firebird

http://www.postimage.org/image.php?v=Pqr9HmJ

[Herbie]

I have one qn.


A man spent 1/5 of his money on clothes and a few sevenths on food.
He has $152 left. How much did he spend on fooD?

Tx

[firebird]

Dear Dharma


Good morning.

Thank you very much for your answer.

With best regards
firebird

[Daddy]

Hi Dharma


Thank you very much for your answers.

[Herbie]

I have one qn.


Can someone help me?

The no. shld be placed in a pyramid form.

TX

Row 1 2
Row 2 4 6 8
Row 3 10 12 14 16 18
Row 4 20 22 24 26 28 30 32

What is the largest no on Row 10?

288 is the largetst no. in a certain row. Which row is it?

[CoffeeCat]

Herbie:

I have one qn.


Can someone help me?

The no. shld be placed in a pyramid form.

TX

Row 1 2
Row 2 4 6 8
Row 3 10 12 14 16 18
Row 4 20 22 24 26 28 30 32

What is the largest no on Row 10?

288 is the largetst no. in a certain row. Which row is it?

if you think about the nature of the number pattern,
1 + 3 + 5 + 7, ....
one might be reminded of square numbers because the sum of consecutive odd numbers from 1 is a square number.
And then notice that the last number of each row is just twice a square number (square of the row number).
so the largest no in row 10 is 2 times the square of 10 which is 200.

288 / 2 = 144. sqrt 144 = 12. therefore 288 is the largest number in row 12.

[CoffeeCat]

Herbie:

I have one qn.


A man spent 1/5 of his money on clothes and a few sevenths on food.
He has $152 left. How much did he spend on fooD?

Tx

Lets assume he has 35 units of money.
he spent 7 units on clothes, left 28 units.
Now he has $152 which equates to a certain whole number units, and we know he will spent a multiple of 5 units on food.
Because 152 = 8 X 19, the only possible value of units left which equates to 152 is 8 units, with each unit corresponding to $19, because 28-8 units = 20 units a multiple of 5.
Therefore amount of money spent on food => 20 units = $160

[singmathstutor]

Herbie:

I have one qn.


Can someone help me?

The no. shld be placed in a pyramid form.

TX

Row 1 2
Row 2 4 6 8
Row 3 10 12 14 16 18
Row 4 20 22 24 26 28 30 32

What is the largest no on Row 10?

288 is the largetst no. in a certain row. Which row is it?

The pattern lies with the last number.

row 1 2 +6
row 2 8 +10
row 3 18 +14
row 4 32

1. the next row's increase is done by adding 4 to the previous row's increase
2. the next row's last number is done by adding the previous row's last number to the next row's increase
Therefore in
row 5, largest number = 32+18=50
row 6, largest number = 50+22=72
row 7, largest number = 72+26=98
row 8, largest number = 98+30=128
row 9, largest number = 128+34=162
row 10, largest number = 162+38=200//

200+42=242 row 11
242+46=288 row 12//

this is my mtd, not sure if there is any simpler mtd though....hehe..

[Dharma]

singmathstutor:

Herbie:

I have one qn.


Can someone help me?

The no. shld be placed in a pyramid form.

TX

Row 1 2
Row 2 4 6 8
Row 3 10 12 14 16 18
Row 4 20 22 24 26 28 30 32

What is the largest no on Row 10?

288 is the largetst no. in a certain row. Which row is it?

The pattern lies with the last number.

row 1 2 +6
row 2 8 +10
row 3 18 +14
row 4 32

1. the next row's increase is done by adding 4 to the previous row's increase
2. the next row's last number is done by adding the previous row's last number to the next row's increase
Therefore in
row 5, largest number = 32+18=50
row 6, largest number = 50+22=72
row 7, largest number = 72+26=98
row 8, largest number = 98+30=128
row 9, largest number = 128+34=162
row 10, largest number = 162+38=200//

200+42=242 row 11
242+46=288 row 12//
this is my mtd, not sure if there is any simpler mtd though....hehe..

Easiest method ... Divide all numbers in pattern by 2

last nos. In each row will be
Row 1 = 1
Row 2 = 4
Row 3 = 9
Row 4 = 16
.
.
Row 10 = 100

Now multiply by 2 ... 100 x 2 = 200

Now if last no. is 288
Half it we get 144 ... Square root of 144 is 12

So , if the last no of a row is 288, the row no is row 12