Thank You for your time in helping to solve this problem.Trying to figure out without using Algebra.

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hi tianzhu.

the area refers to the white space labeled A,B and C, or the area of the circle A, B, C ?

lizawa

Ref: http://www.kiasuparents.com/kiasu/forum/viewtopic.php?p=3269#p3269

Hi lizawa

I believe it refers to the areas of circle A,B and C.

Ref: http://www.kiasuparents.com/kiasu/forum/viewtopic.php?p=3273#p3273

Total area of cirlces

(B+C) : A

= 4:5

= 24:30

1/6 of A shaded -> 1/6 * 30 = 5 units shaded

unshaded A -> 30 units – 5 units = 25 units

unshaded (B+C) -> 24 – 5 = 19 units

Can draw model here, to see clearer.

B has 5 units, C has 3 units. Size of units in B and C are different.

5 units of B + 3 units of C -> 24

1 unit of B + 1unit of C -> 5

3 units of B + 3 units of C ->15

2 units of B -> 24 – 15 = 9

unshaded B = 4 units of B -> 9 * 2 = 18

2 units of C -> 24 – 18 – 5 = 1

unshaded C = 2 units = 1

unshaded

A:B:C

= 25:18:1

Ref: http://www.kiasuparents.com/kiasu/forum/viewtopic.php?p=3307#p3307

Hi lizawa

Thanks

The answer listed in the worksheet is 20:15:1

Ref: http://www.kiasuparents.com/kiasu/forum/viewtopic.php?p=3308#p3308

then, in that case, it’s asking for the total area of A : B:C

Extension to the above solution,

unshaded B = 18

total B = 22.5

unshaded C =1

total C = 1.5

A:B:C

30:22.5 : 1.5

= 60:45:3

= 20:15:1

Ref: http://www.kiasuparents.com/kiasu/forum/viewtopic.php?p=3309#p3309