Tutor MathsGuru: Ask me for your burning Maths questions!

[KSP]

Maths Monster:

mathsguru:

[quote=\"shemum\"]Dear Maths Guru or any experts,


Please help to solve the below question.

3 similar oven toasters and 4 similar kettles cost $120.
2 such oven toasters and 1 such kettle cost $95.
Find the cost of an oven toaster.

Thank You.

Hi Shemum,

Here's my solution!


MathsGuru

http://www.postimage.org/image.php?v=aVIIB7i

This question doesn't look correctly set. If Oven is 52, then 3 Ovens will be 152 which is more than 120![/quote]Yes, I also think there is something not right with the question. Shemum, could you check the question again?

If we eliminate toasters

3t+4k=$120 ->x2
2t+1k=$95 ->x3

6t+8k=$240
6t+3k=$285 -> eliminate toasters

5k=-$45 -> negative value for kettles???
k=-$9

[Dharma]

KSP:

Maths Monster:

[quote=\"mathsguru\"]
Hi Shemum,

Here's my solution!


MathsGuru

http://www.postimage.org/image.php?v=aVIIB7i

This question doesn't look correctly set. If Oven is 52, then 3 Ovens will be 152 which is more than 120!

Yes, I also think there is something not right with the question. Shemum, could you check the question again?

If we eliminate toasters

3t+4k=$120 ->x2
2t+1k=$95 ->x3

6t+8k=$240
6t+3k=$285 -> eliminate toasters

5k=-$45 -> negative value for kettles???
k=-$9[/quote]Hi KSP,

Think that both u and Maths Monster are correct. The numbers do not make sense. My guess is that the sum of 3 toasters and 4 kettles was keyed in as $120 when it should have been $210.
5 toasters + 5 kettles = $210 + $95 = $305
1 toaster + 1 kettle = $ 61

1 toaster = $95 - $61 = $34
1 kettle = $ 95 – 2($34) = $27

Check :
3 toaster + 4 kettles = 3($34) + 4($27) = $210 – OK

Cost of 1 toaster = $34

[firebird]

Dear Maths guru


Please help me on the following maths:

1) The sum of 6 consective numbers is 72e.
(a) What is the value of the smallest number?
(b) What is the value of the highest number?
Give your answer in terms of e.

2) Town X and Town Y were 500km apart. At 7.30am Mrs Tang left Town X for Town Y travelling at a uniform speed. At the same time, Mrs Kwek left Town Y for Town X travelling at a uniform speed which was 16km/h faster than Mrs Tang. Both meet at 10am.

a) At what distance they meet?
b) Find Mrs Kwek Speed?


Thank you
firebird

[Dharma]

firebird:

Dear Maths guru


Please help me on the following maths:

1) The sum of 6 consective numbers is 72e.
(a) What is the value of the smallest number?
(b) What is the value of the highest number?
Give your answer in terms of e.

2) Town X and Town Y were 500km apart. At 7.30am Mrs Tang left Town X for Town Y travelling at a uniform speed. At the same time, Mrs Kwek left Town Y for Town X travelling at a uniform speed which was 16km/h faster than Mrs Tang. Both meet at 10am.

a) At what distance they meet?
b) Find Mrs Kwek Speed?


Thank you
firebird

(1)
N + (N+ 1) + (N+2) + … + (N+5) = 72e
6N + 15 = 72e
Smallest number, N = (72e – 15)/6

Largest number = N + 5 = (72e – 15)/6 + 5 = (72e + 15)/6

(2)
Meeting time = 2.5 hrs
In 2.5 hrs, Mrs Tang will travel (1u x 2.5)km and Mrs Kwek travels ((1u + 16) x 2.5) km.

(1u + 1u + 16) x 2.5 = 500
2u + 16 = 200
2u = 200 – 16 = 184
1u = 92

a)\tThey met at a distance of (92km/h x 2.5hrs) 230km from Town X or 270km from Town Y
b)\tMrs Kwek’s speed = 1u + 16 = 92 + 16 = 108
Mrs Kwek’s speed is 108km/h

[firebird]

Dear Dharma


Good morning.

Thank you very much for you help. I clearly understand now.

With best regards
Firebird

[tutortamil]

Amelia has a stamp collection. 60% of them are Japanese stamps and the rest are Korean stamps. She gave away 63 Korean stamps and 25% of the Japanese stamps. She then had 5/8 of her stamp collection left. How many stamps did Amelia give away?


the ans is 105? i very close to figuring out but dont know one step.

[tutortamil]

tutortamil:

Amelia has a stamp collection. 60% of them are Japanese stamps and the rest are Korean stamps. She gave away 63 Korean stamps and 25% of the Japanese stamps. She then had 5/8 of her stamp collection left. How many stamps did Amelia give away?


the ans is 105? i very close to figuring out but dont know one step.

[Dharma]

tutortamil:

Amelia has a stamp collection. 60% of them are Japanese stamps and the rest are Korean stamps. She gave away 63 Korean stamps and 25% of the Japanese stamps. She then had 5/8 of her stamp collection left. How many stamps did Amelia give away?


the ans is 105? i very close to figuring out but dont know one step.

Japanese : 60u - 15u = 45u
Korean : 40u - 63

3/8 => 15u + 63
1/8 => 5u + 21
8/8 => 40u + 168

100u = 40u + 168
60u = 168
15u = 42

Total stamps given away = 42 + 63 = 105

[Daddy]

Dear Maths guru,


Please help. Thanks.

1. Triangle ABC is a right-angle triangle. The area of the unshaded portion is 1/3 the area of the shaded portion. Find the area of triangle ABC.

http://www.postimage.org/image.php?v=aV9Uz90

Thanks

[starlight1968sg]

Area of unshaded triangle = 1/2 * 4 * 12 = 24cm2.


Thus area of shaded triangle = 24 * 3 = 72 cm2.

Area of triangle ABC = 24 + 72 = 96 cm2.