Q&A - P5 Math

[MathIzzzFun]

Trevortan:

Alan gets $4 more pocket money than Jane every week. Both of them spend $17 on food each week and save the rest of their pocket money. When Alan saves $84, Jane saves only $60. How much pocket money does Alan get in 4 weeks?

Thanks.

Amount Alan saved more than Jane per week --> $4
Total amount Alan saved more than Jane --> $84 - $60 = $24
Number of weeks --> $24/ $4 = 6

Alan's savings per week = $84/6 = $14
Alan's pocket money in 4 weeks = $(14+17) x 4 = $124

cheers.

[Trevortan]

MathIzzzFun:

Trevortan:

Alan gets $4 more pocket money than Jane every week. Both of them spend $17 on food each week and save the rest of their pocket money. When Alan saves $84, Jane saves only $60. How much pocket money does Alan get in 4 weeks?

Thanks.

Amount Alan saved more than Jane per week --> $4
Total amount Alan saved more than Jane --> $84 - $60 = $24
Number of weeks --> $24/ $4 = 6

Alan's savings per week = $84/6 = $14
Alan's pocket money in 4 weeks = $(14+17) x 4 = $124

cheers.

Thanks!

[chloecube]

there were 4 times as many red pens as blue pens in a box. 415 red pens and 46 blue pens were removed from the box. as a result, the number of blue pens became 3 times as many as red pens. how many blue pens were there in the beginning?

[chloecube]

as fruit seller started with 68 more oranges than apples, after selling half the oranges, there were 28 more apples than oranges. find the total number of oranges and apple he had at first.


is the answer 288?

[CL1]

I can solve this question using the guess and check method. But i couldnt find an alternative method the guess and check method. can anyone help me?




**
A group of 24 children sold some tickets. Each tickets was sold at $5. Each boy sold 5 tickets and each girl sold 3 tickets. The boys collected $40 more than the girls. How many boys are there in the group?

[MathIzzzFun]

chloecube:

as fruit seller started with 68 more oranges than apples, after selling half the oranges, there were 28 more apples than oranges. find the total number of oranges and apple he had at first.


is the answer 288?

at first, total number is 316 -> 192 oranges & 124 apples.

At first,
apples --> 2 units
oranges --> 2 units + 68

In the end,
apples --> 2 units
oranges --> 1 unit + 34

there were 28 more apples than oranges in the end,
1 unit + 34 + 28 = 2 units
1 unit --> 62

at first, apples --> 124, oranges --> 192

you can also work backwards:
In the end,
Oranges --> 1u
Apples --> 1u + 28

At first, there were 68 more oranges than apples:
Oranges --> 2u
Apples --> 1u+28
So, 1u --> 28+68= 96

Oranges--> 192,
Apples --> 124

cheers.

[chloecube]

MathIzzzFun:

chloecube:

as fruit seller started with 68 more oranges than apples, after selling half the oranges, there were 28 more apples than oranges. find the total number of oranges and apple he had at first.


is the answer 288?

at first, total number is 316 -> 192 oranges & 124 apples.

At first,
apples --> 2 units
oranges --> 2 units + 68

In the end,
apples --> 2 units
oranges --> 1 unit + 34

Thks: )

there were 28 more apples than oranges in the end,
1 unit + 34 + 28 = 2 units
1 unit --> 62

at first, apples --> 124, oranges --> 192

you can also work backwards:
In the end,
Oranges --> 1u
Apples --> 1u + 28

At first, there were 68 more oranges than apples:
Oranges --> 2u
Apples --> 1u+28
So, 1u --> 28+68= 96

Oranges--> 192,
Apples --> 124

cheers.

[chloecube]

Tks:)

[MathIzzzFun]

CL1:

I can solve this question using the guess and check method. But i couldnt find an alternative method the guess and check method. can anyone help me?




*****
A group of 24 children sold some tickets. Each tickets was sold at $5. Each boy sold 5 tickets and each girl sold 3 tickets. The boys collected $40 more than the girls. How many boys are there in the group?

***

A similar question discussed here - http://www.kiasuparents.com/kiasu/forum/viewtopic.php?f=68&t=25129&start=1750

Ticket collection for every boy --> 5 x $5 = $25
Ticket collection for every girl --> 3 x $5 = $15


Assume that all the tickets are sold by boys, total ticket collection --> $25 x 24 = $600 (*extra amount collected by boys)

$ 600 - $ 40 = $ 560 --> extra amount added for girls' collection

Number of girls --> $ 560 /$(25+15) = 14
Number of boys --> 24 - 14 = 10



cheers.

[doraemo]

Five workers A. B. C, D and E work in an office for 5 days from Monday to Friday.

Given that
\to For each day from Monday to Friday, exactly 3 workers are at work while 2 workers are enjoying their day-off.
\to No worker can be off for 2 consecutive days, neither can they work for 3 consecutive days.
\to B works 2 days more than E; there is only one day when A and C work together; C works on Monday.

Who are the 3 workers who work on Friday?
(Select the correct answer from those given below)
A,B,D
A,B,C
B,C,E
A.C,D