Q&A - PSLE Math

[John Lim]

Need assistance in the following question
Q1. CHIJ Prelim Maths 2015
Q11. A pen cost $0.95 more than a pencil.
Cat bought twice as many pencils as pens.
She spent a total of $2.40 more on the pens than the pencils.
HOw many pens did Cat buy?

I used Units X Value method but couldn't solve it.
Hopefully, someone could guide me through it
Thanks

She spent a total of $53.60.

[ozora]

Need assistance in the following question
Q1. CHIJ Prelim Maths 2015
Q11. A pen cost $0.95 more than a pencil.
Cat bought twice as many pencils as pens.
she spent a total of $53.60.
She spent a total of $2.40 more on the pens than the pencils.
HOw many pens did Cat buy?

I used Units X Value method but couldn't solve it.
Hopefully, someone could guide me through it
Thanks
@John thanks for pointing the error.

[BigDevil]

vvv
A: 1711197
Subject: Math
Level: P6
Tags: Average
Source:
^^^

A, B, C and D sat for a test and scored a total of 270 marks.
D scored the highest and B scored the lowest.
When any 3 of their marks are used, an average of 64, 62, 68 and 76 are obtained.
Find the total score of A and C.

Grand Total -> 270
ACD -> 76 x 3 = 228 (since this is the highest average, so the lowest score B must have been excluded)
B -> 270 - 228 = 42

ACB -> 62 x 3 = 186

AC -> 186 - 42 = 144

[BigDevil]

Tim bought some chocolates and gave half of them to John. John bought some sweets and gave half of them to Tim. Tim ate 12 sweets and John ate 18 chocolates. After that, the number of sweets and chocolates Tim had were in the ratio of 1:7 and the number of sweets and chocolates John had were in the ratio 1:4.
How many sweets did John buy?

See this post for guidance.

[BigDevil]

Michael gets $2.50 more daily allowance than Lionel. Each of them spends $4.40 a day and saves the rest. After some days, Michael saved $99 and Lionel saved $61.50. How much daily allowance does Michael get?

Please see this solution to a similar question for guidance.
The answer is $11.

[angel]

Thank you BigDevil.
How about this one?

Michael gets $2.50 more daily allowance than Lionel. Each of them spends $4.40 a day and saves the rest. After some days, Michael saved $99 and Lionel saved $61.50. How much daily allowance does Michael get?

[Brownbear]

Michael gets $2.50 more daily allowance than Lionel. Each of them spends $4.40 a day and saves the rest. After some days, Michael saved $99 and Lionel saved $61.50. How much daily allowance does Michael get?

Ans :
Michael saves $2.5 more than Lionel per day.
To find out number of days to save $99 & $61.50 -> (99 - 61.50) / 2.5 --> takes 15 days
Michael saves each day -> 99 / 15 = 6.6
Allowance Michael gets -> 6.6 + 4.4 = 11

Hope it helps.

[BigDevil]

I need help with part b of the question. Thanks!

Solved before.
Solution is here

[ozora]

Hi,
the following question is from CHIJ Prelim maths 2015.

Q16. A fruit stall owner had some pears, apples and oranges.
For every 2 pears, there were 3 apples.
For every 9 apples, there were 5 oranges.
36 pears were rotten and thrown away.
Then 1/5 of the remaining fruits were pears.
How many fruits did the fruit owner have at first?
Is the answer 240 or 288?
I used one quantity unchanged method which is the apples and oranges unchanged , the result is 240.
If I used all quantities changed method, the result is 280 which is same as the given answer.
Could anyone point out the error?

[Nebbermind]

Hi,
the following question is from CHIJ Prelim maths 2015.

Q16. A fruit stall owner had some pears, apples and oranges.
For every 2 pears, there were 3 apples.
For every 9 apples, there were 5 oranges.
36 pears were rotten and thrown away.
Then 1/5 of the remaining fruits were pears.
How many fruits did the fruit owner have at first?
Is the answer 240 or 288?
I used one quantity unchanged method which is the apples and oranges unchanged , the result is 240.
If I used all quantities changed method, the result is 280 which is same as the given answer.
Could anyone point out the error?

I've got 288...not 280