Q&A - P5 Math

[linden2000]

enoawng:

A florist sold twice as many roses as tulips and collected $400 in total. She collected $80 more on the tulips than the roses. Given that a tulip costs $2 more than a rose, find the cost of a rose.

(400-80)/2 = 160
so amt for roses is $160 and tulips $240, totalling $400

Using guess and check,
if cost of a tulip is $3, no. of tulips = 80,
cost of a rose is $1, no. of roses = 160

Actually don't quite like to use guess n check as it's more time consuming.
Are there more elegant and less time consuming alternatives, other than algebra ? Thanks!

[MathIzzzFun]

enoawng:

A florist sold twice as many roses as tulips and collected $400 in total. She collected $80 more on the tulips than the roses. Given that a tulip costs $2 more than a rose, find the cost of a rose.

Hi

first, find the total cost for roses and tulips respectively :
Total cost of roses = (400-80)/2 = $160
total cost of tulips = $400 - $ 160 = $240

The florist sold twice as many roses as tulips.. assume we put same number of flowers in each packet, we would have 1 packet of tulips and 2 packets of roses.

Now, each packet of tulips = $ 240
each packet of roses = $ 160 / 2 = $80

Since each tulip cost $2 more than a rose, number of flowers in each packet = (240-80)/2 = 80

So, number of tulips = 80, number of roses = 80 x 2 = 160

cheers.

[teddy7171]

Plz help!


Michael bought some apples and gave half of them to Jackson.
Jackson bought some pears and gave half of them to Michael.
Micheael threw away 25 pears that were rotten while Jackson bought for himself another 20 apples.
After that, the number of pears to apples Michael had were in the ratio of 1:4 and the number of pears to apples Jackson had were in the ratio of 1:2.
How many pears did Jackson buy?

TIA.

[tianzhu]

Hi


Hope this helps.

Best wishes.

http://farm7.static.flickr.com/6157/6164873481_3370820ec8_z.jpg\">

[teddy7171]

Hi tianzhu,


Thank you.

[sunset_dae]

Q1) Mary had a total of 260 black and white beads in the ratio 7:6. After she gave away an equal number of each type of beads, the number of black and white beads left was in the ratio 7:2. How many beads did she give away altogether?


Q2) A seamstress had 69 round buttons and 105 oval ones. After using an equal number of round and oval buttons, the ratio of the number of round buttons to oval ones was 3:5. Find the number of round buttons she used.

**Pls help to solve these 2 qns! thanks

[sunset_dae]

Q1) Mary had a total of 260 black and white beads in the ratio 7:6. After she gave away an equal number of each type of beads, the number of black and white beads left was in the ratio 7:2. How many beads did she give away altogether?


Q2) A seamstress had 69 round buttons and 105 oval ones. After using an equal number of round and oval buttons, the ratio of the number of round buttons to oval ones was 3:5. Find the number of round buttons she used.

**Pls help to solve these 2 qns! thanks

[MathIzzzFun]

sunset_dae:

Q1) Mary had a total of 260 black and white beads in the ratio 7:6. After she gave away an equal number of each type of beads, the number of black and white beads left was in the ratio 7:2. How many beads did she give away altogether?


Q2) A seamstress had 69 round buttons and 105 oval ones. After using an equal number of round and oval buttons, the ratio of the number of round buttons to oval ones was 3:5. Find the number of round buttons she used.

**Pls help to solve these 2 qns! thanks

Hi

for both questions, concept of \"same gap/difference\" can be used to solve.

For q1, the difference in the number of black and white beads = 1/13 x 260 = 20. Since same number of each type of beads were given away, the difference will remain the same.

In the end, number of black : white = 7u : 2u, so 5u = 20 beads
--> 1u = 4 beads.
Total number of beads in the end = 9u = 180.

So, number of beads given away = 260 - 180 =80

q2. Difference in number of buttons
= number of oval buttons more than round buttons
= 105 - 69 = 36

In the end, round : oval = 3u : 5u, difference = 2u = 36
1u = 18

Number of round buttons left = 3u = 3 x 18 = 54
Number of round buttons used = 69 - 54 = 15

cheers.

[sunset_dae]

Thanks alot!


Can help to solve the following also:

In a school, the children are divided into two camps, A and B.
The ratio of the number of children in Camp A to Camp B is 2: 3. All the children in Camp A are boys. In camp B, the ratio of the number of boys to girls is 1:3.
(i) What fraction of the children in the school are boys?
(ii) if there are 60 more boys in camp A than B, how many girls are there in the school?



In a fruit stall, there were 175 apples and 25 oranges.
Later, an equal number of apples and oranges were brought into the stall. The ratio of the number of apples to the number of oranges became 4:1. Find the total number of apples and oranges brought into the stall


thanks alot!

[MathIzzzFun]

sunset_dae:

Thanks alot!


Can help to solve the following also:

In a school, the children are divided into two camps, A and B.
The ratio of the number of children in Camp A to Camp B is 2: 3. All the children in Camp A are boys. In camp B, the ratio of the number of boys to girls is 1:3.
(i) What fraction of the children in the school are boys?
(ii) if there are 60 more boys in camp A than B, how many girls are there in the school?



In a fruit stall, there were 175 apples and 25 oranges.
Later, an equal number of apples and oranges were brought into the stall. The ratio of the number of apples to the number of oranges became 4:1. Find the total number of apples and oranges brought into the stall


thanks alot!

Hi

For q2, it is similar to the first two questions. Use \"same gap/differnce\" to solve. Number of apples more than oranges = 175 - 25 = 150 --> this remains the same since same number of apples and oranges are added.

You may want to try it on your own.

q1.
Camp A : Camp B = 2 : 3
Camp B, boys : Camp B, girls = 1:3 (total 4)

make the number for Camp B the same .. lowest common multiple for 3 & 4 = 12

Camp A: Camp B = 2 : 3 = 8u : 12u, Total = 20u
Camp B, boys : Camp B, girls = 1 : 3 = 3u : 9u (total 12u = Camp B children)

Total number of boys = 8u (camp A) + 3u ( camp B) = 11u
Boys as fraction of total number of children in school = 11/20

If there are 60 more boys in Camp A than Camp B, then
8u - 3u = 60, 5u = 60
1u = 12

Number of girls = 9u = 9 x 12 = 108

cheers.