Tutor MathsGuru: Ask me for your burning Maths questions!

[Daddy]

Thanks iFruit & Tang. Sorry, but I do not understand the solutions from iFruit & Tang.

Any model to show? Thanks…

Daddy

[kancheongmum]

Daddy:

Hi,


I have questions to ask. Thanks.

1. A box contains 30 similar dolls. The total mass of the box with 3/5 of its contents is 0.84Kg lighter than the box with all its contents. The mass of each doll is 4/5 times the mass of the box. Find the total mass of the box and a doll. ( Give your answer in Kilograms).

Thanks
Daddy.

Hi Daddy

5/5 ---- 30 dolls
1/5 is 1u

(box)()()()
(box)()()()()()

2u --- 0.84 kg
1u --- 0.42 kg
5u --- 30 dolls --- 0.42kg x 5u ---- 2.1kg

1 doll --- (2.1)/30 ---- 0.07kg

Doll ()()()()
-Box()()()()()

(Please note that this unit is different from the unit we workout for box and doll. In the question it said doll is 4/5 of box)

4u ---- 0.07kg
weight of box --- (0.07/4) x 5 ----- 0.0875 kg


Total mass of 1 doll and the box --- 0.07kg + 0.0875kg ---- 0.1575kg

[Tang]

Tang:

1. A box contains 30 similar dolls. The total mass of the box with 3/5 of its contents is 0.84Kg lighter than the box with all its contents. The mass of each doll is 4/5 times the mass of the box. Find the total mass of the box and a doll. ( Give your answer in Kilograms).



[B][][][]
[B][][][][][]

2 U --> 0.84 kg

1U --> 0.84/2 = 0.42 kg

30 dolls --> 5 x 0.42 = 2.1 kg

1 doll --> 2.1/30 = 0.07 kg

Box --> 5/4 x 0.07 = 0.0875 kg

Box + 1 doll --> 0.0875 + 0.07 = 0.1575 kg

or

1 D -- 4 u
1 B -- 5 u

30 x 4 = 120

3/5 x 120 = 72

5 u + 120 u --> 5 u + 72 u + 0.84 kg

48 u --> 0.84 kg

9 u --> 9/48 x 0.84 = 0.1575

The total mass of the box and a doll was 0.1575 kg.

Hi,

Model drawing is in dark blue.

[Daddy]

Thanks to all,


Hi Tang,

I do not understand this statement in bold.

Box --> 5/4 x 0.07 = 0.0875 kg
Box + 1 doll --> 0.0875 + 0.07 = 0.1575 kg.

[Tang]

Daddy:

Thanks to all,


Hi Tang,

I do not understand this statement in bold.

Box --> 5/4 x 0.07 = 0.0875 kg
Box + 1 doll --> 0.0875 + 0.07 = 0.1575 kg.

Hi,

Given question:

A box contains 30 similar dolls. The total mass of the box with 3/5 of its contents is 0.84Kg lighter than the box with all its contents. The mass of each doll is 4/5 times the mass of the box. Find the total mass of the box and a doll. ( Give your answer in Kilograms).


The mass of each doll is 4/5 times the mass of the box. -- So the mass of the box is 5/4 times the mass of each doll.

[Vanilla Cake]

clblinym:

Dear Parents,

please help me solve the following Math question for my DS.
I have no idea how to solve and the answer was not given.
Thanks in advance.
Regards,
Amy
http://www.postimage.org/image.php?v=aV2Ofii

This question was from Singapore Mathematical Olympiad for Primary Schools 2004 - Q26.

[Vanilla Cake]

James Ang:

A few questions to share with the \"students\" here.

James Ang:

Q2)The Sentosa High School's telephone number is an eight digit number.The sum of the two numbers formed from the first three digits and the last five digits respectively is 66558.The sum of the two numbers formed from the first five digits and the last three digits is 65577.Find the telephone number of the The Sentosa High School.

Source: Singapore Mathematical Olympiad for Primary Schools 2004 - Q29.

James Ang:

Q3)Placed on a table is a maths problem
89+16+69+6X+Y8+88
X and Y represents a digit.
Two students A and B sit on the opposite sides of the table facing each other.They read the problem from their directions and both get the same answer.What is their answer?

Source: Singapore Mathematical Olympiad for Primary Schools 2004 - Q16.

[Vanilla Cake]

clblinym:

Hi, Parents


Can anyone help solve the following math question. Many thanks.

The answer given is 5:2.

Amy
http://www.postimage.org/image.php?v=aVi95Tr

Source: Singapore Mathematical Olympiad for Primary Schools 2005 - Q24.

[Vanilla Cake]

Bommu99:

Hi Mathsguru,


Would greatly appreciate your help to solve these 2 questions which are among the SMOPS sample questions.

Thanks,

Bommu99
http://www.postimage.org/image.php?v=gx11D_jS

Source: Singapore Mathematical Olympiad for Primary Schools 2007 - First round - Q1 and Q3.

[Muffins]

Hi guys, do you have a quick way of doing this???


Thanks!

Grandma sent Johnny some money for his birthday. Johnny spent all of it in five stores. In each store, he spent $1.00 more than half of what he had when he came in. How much money did he get from grandma?