Tutor MathsGuru: Ask me for your burning Maths questions!

[CJM]

Alex spent 3/8 of his money while Alice spent 3/5 of her money in a carnival. They found that they have the same amount of money at the end of the carnival. After counting their money, they had a total of $725 left. How much money did Alex spend at the carnival?

[chl72]

Hi!


Need some help with this question

4/5 of substance X has the same mass as 2/7 of substance Y. What fraction of substance X is equal in mass to 2/3 substance Y?

TIA!

[mrswongtuition]

CJM:

Alex spent 3/8 of his money while Alice spent 3/5 of her money in a carnival. They found that they have the same amount of money at the end of the carnival. After counting their money, they had a total of $725 left. How much money did Alex spend at the carnival?

Alex spent 3/8 of his money which means that he has 5/8 left.
Alice spent 3/5 of her money which means that she has 2/5 left.

Since they have the same amount at the end...
Alex`[_][_][_][_][_]`}Total Left:
Alice [-------][-------] } $725

5 units of Alex = 2 units of Alice
Multiply to make them the same.
5 x 2 units of Alex = 2 x 5 units of Alice

Total 20units left -> $725

Since Alex had 8 x 2 units = 16 units at first,
it means that he spent 6 units.

1 unit -> $36.25
6 units -> $217.50

[mrswongtuition]

chl72:

Hi!


Need some help with this question

4/5 of substance X has the same mass as 2/7 of substance Y. What fraction of substance X is equal in mass to 2/3 substance Y?

TIA!

Almost the same as the above question.

X [-][-][-][-]
Y [= =][= =]

4 units of X = 2 units of Y
Multiply to make them the same:
4 x 1 units of X = 2 x 2 units of Y
4 units of X = 4 units of Y

X will have a total of 5 units,
Y will have a total of 7 x 2 = 14 units.

2/3 of 14 units = 9 & 1/3 units

To make the numbers into whole numbers so that it's easier to compare,
X will have 15 units,
Y will have 42 units.

2/3 of 42 units = 28 units

28/15 = 1 & 13/15 of X is the same as 2/3 of Y

[chl72]

mrswongtuition:

chl72:

Hi!


Need some help with this question

4/5 of substance X has the same mass as 2/7 of substance Y. What fraction of substance X is equal in mass to 2/3 substance Y?

TIA!

To make the numbers into whole numbers so that it's easier to compare,
X will have 15 units,
Y will have 42 units.

2/3 of 42 units = 28 units

28/15 = 1 & 13/15 of X is the same as 2/3 of Y

Thank you for your fast response, Mrs Wong!

I worked till X=15U and Y=42U, and got confused.. :oops:
The answer key gave 5/21 as answer, simply cannot understand how to get this answer. Pls help! Thanks a million!

[CJM]

mrswongtuition:

CJM:

Alex spent 3/8 of his money while Alice spent 3/5 of her money in a carnival. They found that they have the same amount of money at the end of the carnival. After counting their money, they had a total of $725 left. How much money did Alex spend at the carnival?

Alex spent 3/8 of his money which means that he has 5/8 left.
Alice spent 3/5 of her money which means that she has 2/5 left.

Since they have the same amount at the end...
Alex`[_][_][_][_][_]`}Total Left:
Alice [-------][-------] } $725

5 units of Alex = 2 units of Alice
Multiply to make them the same.
5 x 2 units of Alex = 2 x 5 units of Alice

Total 20units left -> $725

Since Alex had 8 x 2 units = 16 units at first,
it means that he spent 6 units.

1 unit -> $36.25
6 units -> $217.50

thank u so much : )

[tinasen]

Dear Maths Guru,


I badly need help to solve this homework problem for my son.

A basket with 65 sweets has a mass of 3200g. The same basket with 40 sweets has a mass of 2125g. Each sweet has the same mass. What is the mass of the basket.

Your help is greatly appreciated.
Thanks
Tinasen

[Eddow]

basket + 65 sweets = 3200

basket _ 40 sweets = 2125

So if you take 3200- 2125 = 1075, the result will be for the 25 sweets
then, 1 sweet will be 1075 divide by 25 = 43g

take 43 x 40 sweets =1720g
2125 - 1720 = 405g (mass of basket)

[tinasen]

Eddow:

Hi Eddow,

Just a doubt. Doesn't 1720g include the basket mass as well.

- tinasen

basket + 65 sweets = 3200
basket _ 40 sweets = 2125

So if you take 3200- 2125 = 1075, the result will be for the 25 sweets
then, 1 sweet will be 1075 divide by 25 = 43g

take 43 x 40 sweets =1720g
2125 - 1720 = 405g (mass of basket)

[tinasen]

Sorry… Haven’t used the forum so started this as new topic instead of posting it in this forum. Now have re-posted my question here. Sorry for the inconvenience.


Dear Maths Guru,

I badly need help to solve this homework problem for my son.

A basket with 65 sweets has a mass of 3200g. The same basket with 40 sweets has a mass of 2125g. Each sweet has the same mass. What is the mass of the basket.

Your help is greatly appreciated.
Thanks
Tinasen