Tutor MathsGuru: Ask me for your burning Maths questions!

[2DMommy]

Please help me with these 2 questions again. Not too difficult i think but i am stupid lah :oops:


1) The ratio of Ahmad's age to Sun's age is 5 : 3 now. 4 years ago,
the ratio was 7 : 4. How\told is Ahmad now ?\t

2) Aunt Rosie bought an equal number of curry puffs and cupcakes for a tea party. The curry puffs were bought at 7 for $2 and the cupcakes were bought at 5 for $3. She paid $33 more for the cupcakes than for the curry puffs.\t\t\t\t\t\t\t\t
a) How many curry puffs did Aunt Rosie buy ?\t\t\t\t
b) How much did Aunt Rosie pay for the curry puffs ?\t\t\t\t\t\t\t\t\t
Thanks

[MathIzzzFun]

2DMommy:

Please help me with these 2 questions again. Not too difficult i think but i am stupid lah :oops:


1) The ratio of Ahmad's age to Sun's age is 5 : 3 now. 4 years ago,
the ratio was 7 : 4. How\told is Ahmad now ?\t

2) Aunt Rosie bought an equal number of curry puffs and cupcakes for a tea party. The curry puffs were bought at 7 for $2 and the cupcakes were bought at 5 for $3. She paid $33 more for the cupcakes than for the curry puffs.\t\t\t\t\t\t\t\t
a) How many curry puffs did Aunt Rosie buy ?\t\t\t\t
b) How much did Aunt Rosie pay for the curry puffs ?\t\t\t\t\t\t\t\t\t
Thanks

Hi

1) for problem sums on \"age\", the key consideration is the age difference will remain the same.

Age now, Ahmad:Sun = 5:3 = 15u : 9u (diff 6u)
Age 4 years ago, Ahmad:Sun = 7:4 = 14u:8u (diff 6u)
so 15u - 14u = 4, 1u = 4

Ahmad's age now = 15 x 4 = 60 years old.

2) Find cost of equal number of cupcakes & curry puffs
cost of 35 (7 x5 ) curry puffs = 5 x $2 = $10
cost of 35 (5 x7) cupcakes = 7 x $3 = $21

every 35 cupcakes cost $11 more than 35 curry puffs

$33/$11 = 3

so 3 x 35 = 105 cupcakes will cost $33 more than 105 curry puffs.

a) Auntie Rosie bought 105 curry puffs
b) cost of 105 curry puffs = 105/7 x $2 = $30

cheers.

[blitz]

PLs assist.

Belinda has 20% more stickers than Yi Xizng. Yi Xiang has 25% more stickers than Sabrina.
(a)What is the ratio of Belinda’s stickers to Sabrina stickers?
(b)Yi Xiang gave some stickers to Sabrina so tha they each had the same number of stickers. Now Belinda has 36 more stickers than Sabrina. How many stickers does Belinda have?

[blitz]

One more question…thanks in advance


60% of people at a performance were adults. 75% of the children at the performance were girls. There were 36 more girls than boys. Halfway thru the performance, some girls left. After that, 2/9 of the remaining people were girls.

How many girls left the performance?

I got the answer as 34, is that correct?

[MathIzzzFun]

blitz:

PLs assist.

Belinda has 20% more stickers than Yi Xizng. Yi Xiang has 25% more stickers than Sabrina.
(a)What is the ratio of Belinda's stickers to Sabrina stickers?
(b)Yi Xiang gave some stickers to Sabrina so tha they each had the same number of stickers. Now Belinda has 36 more stickers than Sabrina. How many stickers does Belinda have?

Hi

Q1
Belinda : Yi Xiang = 120 : 100 = 6 :5
Yi Xiang : Sabrina = 125 : 100 = 5 : 4
Belinda : Yi Xiang : Sabrina = 6 : 5 : 4

a) Belinda : Sabrina = 6 : 4 = 3 : 2

b) Belinda : Yi Xiang : Sabrina = 6u : 5u : 4u
After Yi Xiang gave some stickers to Sabrina, they each had the same = (5u+4u)/2 = 4.5u

Belinda had 36 more stickers than Sabrina -> 6u - 4.5u = 1.5u = 36
1u = 24
6u = 144

Belinda had 144 stickers.

cheers.

[MathIzzzFun]

blitz:

One more question...thanks in advance


60% of people at a performance were adults. 75% of the children at the performance were girls. There were 36 more girls than boys. Halfway thru the performance, some girls left. After that, 2/9 of the remaining people were girls.

How many girls left the performance?

I got the answer as 34, is that correct?

Hi

I got 18.

From the first part of question, you will get -
Adults : Girls : Boys = 108 : 54 : 18
then 7/9 of remaining people = 108 + 18 = 126, 1/9 = 18, 2/9 = 36 girls remained.

Number of girls who left the performance = 54 - 36 = 18

cheers.

[blitz]

Thank you MathIzzzFun....will forward this to my child.

[2DMommy]

Please help me with these questions again :

1) A stack of bookmarks was shared among Peter, Tom and Jerry. Peter received 3 more than 50% of the bookmarks. Tom received 5 more than half of the remaining bookmarks. After Peter and Tom had taken their share, Jerry received 50% of the remainder and the last 3 bookmarks. What percentage of the stack of bookmarks did Jerry receive ?\t

2) Kailing and Jim had a total of $63. Kailing gave 0.3 of her share to Jim. Jim then gave 1/3 of the total amount of money he had to his brother. In the end, all the three children had the same amount of money. How much money did Kailing have at first?\t\t

Thanks !

[MathIzzzFun]

2DMommy:

Please help me with these questions again :

1) A stack of bookmarks was shared among Peter, Tom and Jerry. Peter received 3 more than 50% of the bookmarks. Tom received 5 more than half of the remaining bookmarks. After Peter and Tom had taken their share, Jerry received 50% of the remainder and the last 3 bookmarks. What percentage of the stack of bookmarks did Jerry receive ?\t

2) Kailing and Jim had a total of $63. Kailing gave 0.3 of her share to Jim. Jim then gave 1/3 of the total amount of money he had to his brother. In the end, all the three children had the same amount of money. How much money did Kailing have at first?\t\t

Thanks !

Hi

you should be able to solve by working backwards:

1) Jerry received 50% of the remainder (final) and last 3 bookmarks, so the last 3 bookmarks is also = 50% of final remainder, final remainder = 6 .. from here, you can work backwards to solve .. Total bookmarks = 50, Peter 28, Tom 16, Jerry 6.

2) this was discussed in an earlier thread - http://www.flickr.com/photos/62167097@N02/6020796670/in/photostream

cheers.

[rainbow75]

Mr Tan drives to work everday .The distance from home to office is 40 km.He was sick one day and he drove 20km/h slower and was 10 minutes late for work.what was his usual speed to work?