Q&A - P5 Math

[MathIzzzFun]

Winx5015:

Hi, need help for the following questions.


Q2). Steve baked some cookies. If he give 4 cookies to his friends, he would have 2 cookies left over. If he give 5 cookies to his friends, he would be short of 2 cookies. What is the least number of friends Steve have?

Thanks!

Hi

Assume 4 cookies given to each of his friend and he had 2 cookies left. Now, in order for each of the friend to have 5 cookies, he had to give 1 more to each.

Since he will be short of 2 cookies, number of friends = 2 + 2 = 4

cheers.

[MathIzzzFun]

Winx5015:

Hi, need help for the following questions.


Q3). There are 648 turkeys, goats and ducks in a farm. The ratio of the number of turkeys to the total number of goats and ducks is 5:7. The ratio of the number of goats to the number of turkeys and ducks is 3:5. Find the ratio of the turkeys to the goats to the ducks.

Thanks!

Hi

turkeys : goats + ducks = 5:7
turkeys : turkeys + goats + ducks = 5 : 12 = 10 : 24

goats : turkeys + ducks = 3 : 5
goats : turkeys + goats + ducks = 3 : 8 = 9 : 24

turkeys : goats : ducks
= 10 : 9 : 24 - 10 - 9
= 10 : 9 : 5

cheers.

[Superbugs]

[quote="ksme"]Pixiedust and Superbug,


Rosyth School 2010 P5 SA2 Maths Paper 2 Q6

Area of triangles ABX + BXY+YDC = 1/2 of Area of rectangle ABCD = 240
Since area of BXZ = 56, the shaded area is 240-56= 184 cm2

I don’t get it. Why Area of triangles ABX + BXY+YDC = 1/2 of Area of rectangle ABCD?

[MathIzzzFun]

Superbugs:

ksme:

Pixiedust and Superbug,


Rosyth School 2010 P5 SA2 Maths Paper 2 Q6

Area of triangles ABX + BXY+YDC = 1/2 of Area of rectangle ABCD = 240
Since area of BXZ = 56, the shaded area is 240-56= 184 cm2

I don't get it. Why Area of triangles ABX + BXY+YDC = 1/2 of Area of rectangle ABCD?

hi

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cheers.

[YumYum]

Hi, I need help with the following Qn:


Irene had a total of 1688 red, blue and green balloons for sale. The ratio of the number of red balloons to the number of blue balloons was 2:3.

After Irene sold 3/4 of the blue balloons, 1/2 of the green balloons and none of the red balloons, she had 922 balloons left.

How many blue balloons did Irene have at first?

thanks!

[YumYum]

Need help with one more Qn:


In Jars A and B, there are only blue and red marbles.
In Jar A, 65% of the 700 marbles are blue marbles.
In Jar B, 25% of the 480 marbles are red marbles.
After some of the marbles in both jars were transferred, 20% of the marbles in Jar A and 40% of the marbles in Jar B were red.
How many marbles were there in Jar B after the change?

thanks

[Essential]

Hi my DS need help for Chij paper q15, there were 350 children enrolled in the Eliot Drama Academy in 2009 . 2/7 of the children were girls . Additional children joined the drama academy in 2010. For every 2 girls who joined the drama academy , 1 boy joined the drama academy. If there were equal number of boys and girls in 2010 , how many joined the academy in that year?

[MathIzzzFun]

YumYum:

Hi, I need help with the following Qn:


Irene had a total of 1688 red, blue and green balloons for sale. The ratio of the number of red balloons to the number of blue balloons was 2:3.

After Irene sold 3/4 of the blue balloons, 1/2 of the green balloons and none of the red balloons, she had 922 balloons left.

How many blue balloons did Irene have at first?

thanks!

Hi

Initially, Red : Blue = 2 : 3 = 8u : 12u
Sold = 9u (3/4 blue) + 1/2 Green = 1688 - 922 = 766
Left = 3u (1/4 blue) + 8u (Red) + 1/2 Green = 922

Left - Sold --> 2u = 922 - 766, 1u = 78

Blue Balloons, initially = 12u = 12 x 78 = 936

cheers.

[MathIzzzFun]

YumYum:

Need help with one more Qn:


In Jars A and B, there are only blue and red marbles.
In Jar A, 65% of the 700 marbles are blue marbles.
In Jar B, 25% of the 480 marbles are red marbles.
After some of the marbles in both jars were transferred, 20% of the marbles in Jar A and 40% of the marbles in Jar B were red.
How many marbles were there in Jar B after the change?

thanks

Hi

Initially,
Blue marbles in A = 65% x 700 = 455
Red marbles in A = 700 - 455 = 245

Blue marbles in B = 75% x 480 = 360
Red marbles in B = 480 - 360 = 120

Total Red marbles = 245 + 120 = 365
Total Blue marbles = 455 + 360 = 815
Total marbles = 1180

After transfer:
A = # # # # #
B = @ @ @ @ @

# + @ = 1180 / 5 = 236

# + @ @ = 365
So,
@ = 365 - 236 = 129
# = 236 - 129 = 107

Jar B, after transfer = 5 x @ = 645

cheers.

[MathIzzzFun]

Essential:

Hi my DS need help for Chij paper q15, there were 350 children enrolled in the Eliot Drama Academy in 2009 . 2/7 of the children were girls . Additional children joined the drama academy in 2010. For every 2 girls who joined the drama academy , 1 boy joined the drama academy. If there were equal number of boys and girls in 2010 , how many joined the academy in that year?

Hi

In 2009,
Girls = 2/7 x350 = 100
Boys = 350 - 100 = 250

In 2010, Girls joined = 2u, Boys joined = 1u
Total girls = 2u + 100
Total boys = 1u + 250
So, 2u + 100 = 1u + 250
1u = 150

Number joined in 2010 = 3u = 3 x 150 = 450

cheers.