Q&A - P5 Math

[GoopPwr]

Ratio of one-dollar and fifty-cents coins - 2 :5 . 140 fifty-cents coins changed to one-dollar coins. In the end one-dollar coin to fifty-cents coin is 5 : 2. Find value of fifty-cent coins at the begining.


Thanks very much Tian Zhu

[GoopPwr]

Hotel Hollywood and Hotel Broadway had total of 5,200 guests. 3/4 of guest in hotel hollywood and 3/5 of guest from Broadway checked out. Hotel Broadway had 260 more guest than Hollywood. How many guest did Hotel Hollywood have at first.


Thanks for your time and any help

[tianzhu]

GoopPwr:

Hotel Hollywood and Hotel Broadway had total of 5,200 guests. 3/4 of guest in hotel hollywood and 3/5 of guest from Broadway checked out. Hotel Broadway had 260 more guest than Hollywood. How many guest did Hotel Hollywood have at first.


Thanks for your time and any help

Hi

You may work using MD or units.

In the end

Hotel Hollywood ------ 2 units (1/4 remaining, 3/4 checked out)

1/4 ------ 2 units

Hotel Broadway ------ 2 units + 260 (2/5 remaining, 3/5 checked out)

1/5 ------ 1 unit + 130

At first

Hotel Hollywood ------ 8 units

Hotel Broadway ------ 5 units + 650

13 units + 650 ------- 5200

1 unit ------ 350

Number of guests@Hotel Hollywood at first------ 8 * 350 ------ 2800

Best wishes

[tianzhu]

GoopPwr:

Ratio of one-dollar and fifty-cents coins - 2 :5 . 140 fifty-cents coins changed to one-dollar coins. In the end one-dollar coin to fifty-cents coin is 5 : 2. Find value of fifty-cent coins at the begining.

Hi

This is one possible way.

At first

one-dollar : fifty-cents ----- 2u:5u

Change

140 fifty-cents coins changed to 70 one-dollar coins

1 one-dollar : fifty-cents ----- +70:-140

In the end

1 one-dollar : fifty-cents ----- 5p:2p

2u + 70 ----- 5p

(x2)

4u + 140 ----- 10p

5u – 140 ----- 2p

(x5)

25u - 700 ------ 10p

Equalising the parts

4u + 140 ----- 25u - 700

21u ----- 840

1u ----- 40

Number of fifty-cents coins@first ------ 5*40 ------ 200

Value of fifty-cent coins at the beginning ------- $100

Best wishes

[pineapple tarts]

tianzhu:

pineapple tarts:

Sorry sorry, last one for the day.


At 2p.m. the ratio of the nos. of girls to the nos. of boys at the library was 5:3. After 2p.m., 40 girls left the library and 40 boys entered the library and the ratio became 3:4.
(a) how many girls were there at the library at first?
(b) how many more boys were there at the library after 2p.m.?

Hi

Please confirm.

Is it 44 or 40?

Best wishes

Dear Tianzhu, it's 4O leh.

[tianzhu]

pineapple tarts:

Dear Tianzhu, it's 4O leh.

Hi

Where is this question from?

If it’s 40, you’ll end up having decimals.

If it’s 44, the answers are

First

140 boys and 84 girls

Final

96 boys and 128 girls

Best wishes

[pineapple tarts]

tianzhu:

pineapple tarts:

Dear Tianzhu, it's 4O leh.

Hi

Where is this question from?

If it’s 40, you’ll end up having decimals.

If it’s 44, the answers are

First

140 boys and 84 girls

Final

96 boys and 128 girls

Best wishes

Dear Tianzhu,

Question is from Rosyth SA2 2011 for P5.

Thank you for your kind effort to solve so many problems. It is really helpul.
:thankyou:

[happyheart]

tianzhu:

happyheart:

please help. Thank you in advance!


Q) Ali used some rectangular and square tiles to make a wall design. The rectangular tiles were sold at 3 for $12 and the square tiles were sold at 2 for $6. If he spend $546 on an equal number of rectangulars and square tiles, how many rectangular Nd square tiles dis he use altogether?

Hi

We need an equal number of rectangular and square tiles.

A common multiple of 2 and 3 is 6

Consider 1 group of 3 rectangular tiles

2 groups ------- 6 rectangular tiles --------$24

Consider 1 group of 2 square tiles

3 groups ------- 6 square tiles --------$18

A set of 6 rectangular tiles and 6 square tiles -------$42

546/42 ------- 13

There are 13 sets.

Hence 13*6*2 ------- 156

Best wishes

Why didn't I think of it? Thank you, Tianzhu.

[tianzhu]

pineapple tarts:

Dear Tianzhu,

Question is from Rosyth SA2 2011 for P5.

Thank you for your kind effort to solve so many problems. It is really helpul.
:thankyou:

Hi

At 2p.m. the ratio of the nos. of girls to the nos. of boys at the library was 5:3.

It should be read as 5:4.In this case 40 is correct.

Best wishes

[pineapple tarts]

tianzhu:

pineapple tarts:

Dear Tianzhu,

Question is from Rosyth SA2 2011 for P5.

Thank you for your kind effort to solve so many problems. It is really helpul.
:thankyou:

Hi

At 2p.m. the ratio of the nos. of girls to the nos. of boys at the library was 5:3.

It should be read as 5:4.In this case 40 is correct.

Best wishes

alamak!! sorry sorry very sorry. :oops: